diff --git a/package.json b/package.json
index c3a541a..19b1666 100644
--- a/package.json
+++ b/package.json
@@ -16,6 +16,11 @@
       "types": "./dist/commands/index.d.ts",
       "import": "./dist/commands/index.js",
       "require": "./dist/commands/index.cjs"
+    },
+    "./bt": {
+      "types": "./dist/bt/index.d.ts",
+      "import": "./dist/bt/index.js",
+      "require": "./dist/bt/index.cjs"
     }
   },
   "files": [
diff --git a/src/bt/index.ts b/src/bt/index.ts
new file mode 100644
index 0000000..597742b
--- /dev/null
+++ b/src/bt/index.ts
@@ -0,0 +1,14 @@
+export {
+  Task,
+  Scheduled,
+  Running,
+  Succeeded,
+  Failed,
+  Cancelled,
+  TERMINAL_TAGS,
+  ChildOf,
+} from "./task";
+export type { TaskKind } from "./task";
+
+export { TaskRunner } from "./runner";
+export type { LeafHandler, TerminalHandler } from "./runner";
diff --git a/src/bt/runner.ts b/src/bt/runner.ts
new file mode 100644
index 0000000..1b8da00
--- /dev/null
+++ b/src/bt/runner.ts
@@ -0,0 +1,287 @@
+import type { World, Entity } from "../index";
+import { query } from "../query";
+import {
+  Task,
+  Scheduled,
+  Running,
+  Succeeded,
+  Failed,
+  Cancelled,
+  TERMINAL_TAGS,
+  ChildOf,
+} from "./task";
+
+// ── Types ─────────────────────────────────────────────
+/** Callback invoked for each leaf task that becomes Scheduled. */
+export type LeafHandler = (world: World, entity: Entity) => void;
+
+/** Callback invoked when a task reaches a terminal status. */
+export type TerminalHandler = (
+  world: World,
+  entity: Entity,
+  status: "succeeded" | "failed" | "cancelled",
+) => void;
+
+// ── Helpers ───────────────────────────────────────────
+function terminalStatus(
+  world: World,
+  entity: Entity,
+): "succeeded" | "failed" | "cancelled" | null {
+  if (world.has(entity, Succeeded)) return "succeeded";
+  if (world.has(entity, Failed)) return "failed";
+  if (world.has(entity, Cancelled)) return "cancelled";
+  return null;
+}
+
+function isTerminal(world: World, entity: Entity): boolean {
+  return terminalStatus(world, entity) !== null;
+}
+
+function clearStatus(world: World, entity: Entity): void {
+  for (const tag of TERMINAL_TAGS) {
+    if (world.has(entity, tag)) world.remove(entity, tag);
+  }
+  if (world.has(entity, Running)) world.remove(entity, Running);
+}
+
+function childrenOf(world: World, parent: Entity): Entity[] {
+  return world.getRelatedTo(parent, ChildOf);
+}
+
+function parentOf(world: World, child: Entity): Entity | null {
+  return world.getRelated(child, ChildOf) ?? null;
+}
+
+// ── TaskRunner ────────────────────────────────────────
+/**
+ * Push-based behaviour-tree runner.
+ *
+ * Only tasks tagged with `Scheduled` are processed each tick.
+ * When a task finishes, it notifies its parent, which may schedule
+ * the next child (sequential), aggregate results (parallel), or
+ * propagate upward.
+ *
+ * Leaves are dispatched to a user-provided `onLeaf` callback.
+ * Terminal results are dispatched to a user-provided `onTerminal` callback.
+ *
+ * @example
+ * ```ts
+ * const runner = new TaskRunner(world);
+ * runner.onLeaf = (world, entity) => {
+ *   // do the leaf's work, then call:
+ *   runner.succeed(entity);
+ * };
+ *
+ * // Each frame:
+ * runner.tick();
+ * ```
+ */
+export class TaskRunner {
+  private _world: World;
+
+  /** Called when a leaf task becomes Scheduled. */
+  onLeaf: LeafHandler = () => {};
+
+  /** Called when any task reaches a terminal status. */
+  onTerminal: TerminalHandler = () => {};
+
+  constructor(world: World) {
+    this._world = world;
+  }
+
+  // ── Public API ────────────────────────────────────
+
+  /**
+   * Process all Scheduled tasks.
+   *
+   * Call once per frame. Only entities with `Scheduled` are touched.
+   */
+  tick(): void {
+    const scheduled = [...this._world.query(query(Task, Scheduled))];
+    for (const entity of scheduled) {
+      this._world.remove(entity, Scheduled);
+      this._execute(entity);
+    }
+  }
+
+  /** Mark a leaf task as succeeded and propagate upward. */
+  succeed(entity: Entity): void {
+    this._finish(entity, Succeeded);
+  }
+
+  /** Mark a leaf task as failed and propagate upward. */
+  fail(entity: Entity): void {
+    this._finish(entity, Failed);
+  }
+
+  /** Cancel a task and all its descendants. */
+  cancel(entity: Entity): void {
+    this._cancelTree(entity);
+  }
+
+  /** Schedule a task for execution next tick. */
+  schedule(entity: Entity): void {
+    if (this._world.has(entity, Task)) {
+      this._world.add(entity, Scheduled);
+    }
+  }
+
+  /** Reset a task to idle (removes all status tags). */
+  reset(entity: Entity): void {
+    clearStatus(this._world, entity);
+    this._world.remove(entity, Scheduled);
+  }
+
+  // ── Internal execution ────────────────────────────
+
+  private _execute(entity: Entity): void {
+    const t = this._world.get(entity, Task);
+
+    switch (t.kind) {
+      case "leaf":
+        this._executeLeaf(entity);
+        break;
+      case "sequential":
+        this._executeSequential(entity);
+        break;
+      case "parallel":
+        this._executeParallel(entity);
+        break;
+      case "random":
+        this._executeRandom(entity);
+        break;
+    }
+  }
+
+  private _executeLeaf(entity: Entity): void {
+    this._world.add(entity, Running);
+    this.onLeaf(this._world, entity);
+  }
+
+  private _executeSequential(entity: Entity): void {
+    const children = childrenOf(this._world, entity);
+
+    // Find the first non-terminal child
+    for (const child of children) {
+      if (isTerminal(this._world, child)) {
+        const status = terminalStatus(this._world, child)!;
+        if (status === "failed" || status === "cancelled") {
+          this._finish(entity, status === "cancelled" ? Cancelled : Failed);
+          return;
+        }
+        // succeeded — continue to next child
+        continue;
+      }
+
+      // Found a child that hasn't run yet — schedule it
+      this._world.add(child, Scheduled);
+      return;
+    }
+
+    // All children succeeded
+    this._finish(entity, Succeeded);
+  }
+
+  private _executeParallel(entity: Entity): void {
+    const children = childrenOf(this._world, entity);
+    let allDone = true;
+
+    for (const child of children) {
+      if (isTerminal(this._world, child)) {
+        const status = terminalStatus(this._world, child)!;
+        if (status === "failed" || status === "cancelled") {
+          this._finish(entity, status === "cancelled" ? Cancelled : Failed);
+          return;
+        }
+        // succeeded — this child is done
+        continue;
+      }
+
+      allDone = false;
+
+      // Schedule if not already running or scheduled
+      if (
+        !this._world.has(child, Running) &&
+        !this._world.has(child, Scheduled)
+      ) {
+        this._world.add(child, Scheduled);
+      }
+    }
+
+    if (allDone) {
+      this._finish(entity, Succeeded);
+    }
+  }
+
+  private _executeRandom(entity: Entity): void {
+    const children = childrenOf(this._world, entity);
+
+    // Check if any child already reached a terminal
+    for (const child of children) {
+      if (isTerminal(this._world, child)) {
+        const status = terminalStatus(this._world, child)!;
+        this._finish(
+          entity,
+          status === "succeeded"
+            ? Succeeded
+            : status === "cancelled"
+              ? Cancelled
+              : Failed,
+        );
+        return;
+      }
+    }
+
+    // Pick a random child that isn't already running
+    const eligible = children.filter(
+      (c) => !this._world.has(c, Running) && !this._world.has(c, Scheduled),
+    );
+
+    if (eligible.length > 0) {
+      const pick = eligible[Math.floor(Math.random() * eligible.length)];
+      this._world.add(pick, Scheduled);
+    }
+    // If no eligible children (all running), wait for one to finish
+  }
+
+  // ── Completion propagation ────────────────────────
+
+  private _finish(
+    entity: Entity,
+    tag: typeof Succeeded | typeof Failed | typeof Cancelled,
+  ): void {
+    if (!this._world.has(entity, Task)) return;
+
+    clearStatus(this._world, entity);
+    this._world.add(entity, tag);
+
+    const status = terminalStatus(this._world, entity)!;
+    this.onTerminal(this._world, entity, status);
+
+    // Notify parent
+    const parent = parentOf(this._world, entity);
+    if (parent) {
+      this._world.add(parent, Scheduled);
+    }
+  }
+
+  private _cancelTree(entity: Entity): void {
+    if (!this._world.has(entity, Task)) return;
+
+    // Cancel children first
+    for (const child of childrenOf(this._world, entity)) {
+      this._cancelTree(child);
+    }
+
+    // Cancel this node
+    clearStatus(this._world, entity);
+    this._world.add(entity, Cancelled);
+    this.onTerminal(this._world, entity, "cancelled");
+
+    // Notify parent
+    const parent = parentOf(this._world, entity);
+    if (parent) {
+      this._world.add(parent, Scheduled);
+    }
+  }
+}
diff --git a/src/bt/task.ts b/src/bt/task.ts
new file mode 100644
index 0000000..cf3db0f
--- /dev/null
+++ b/src/bt/task.ts
@@ -0,0 +1,44 @@
+import { defineComponent } from "../component";
+import { defineRelationship } from "../relationship";
+
+// ── Task component ────────────────────────────────────
+/**
+ * Core component for behaviour-tree tasks.
+ *
+ * `kind` determines how the task evaluates its children:
+ * - `"leaf"` — terminal node; external logic drives it to completion.
+ * - `"sequential"` — runs children one at a time, left to right.
+ *   Succeeds when all children succeed; fails when any child fails.
+ * - `"parallel"` — schedules all children at once.
+ *   Succeeds when all children succeed; fails when any child fails.
+ * - `"random"` — picks one child at random each time it's scheduled.
+ *   Succeeds/fails with that child's result.
+ */
+export const Task = defineComponent("task", {
+  kind: "leaf" as "leaf" | "sequential" | "parallel" | "random",
+});
+
+export type TaskKind = typeof Task.type["kind"];
+
+// ── Status tags (zero-size — presence is the signal) ──
+/** A task that should be executed this tick. */
+export const Scheduled = defineComponent("scheduled", {});
+
+/** A task that is currently executing (multi-frame leaves). */
+export const Running = defineComponent("running", {});
+
+/** The task completed successfully. */
+export const Succeeded = defineComponent("succeeded", {});
+
+/** The task failed. */
+export const Failed = defineComponent("failed", {});
+
+/** The task was cancelled externally. */
+export const Cancelled = defineComponent("cancelled", {});
+
+/** All terminal status tags. */
+export const TERMINAL_TAGS = [Succeeded, Failed, Cancelled] as const;
+
+// ── Relationship ──────────────────────────────────────
+/** Parent → child edge in the task tree. */
+export const ChildOf = defineRelationship("taskChild");
diff --git a/test/bt.test.ts b/test/bt.test.ts
new file mode 100644
index 0000000..409eade
--- /dev/null
+++ b/test/bt.test.ts
@@ -0,0 +1,539 @@
+import { describe, it, expect, beforeEach } from "vitest";
+import { World, type Entity } from "../src/index";
+import {
+  Task,
+  Scheduled,
+  Running,
+  Succeeded,
+  Failed,
+  Cancelled,
+  ChildOf,
+  TaskRunner,
+} from "../src/bt/index";
+
+// ── Helpers ─────────────────────────────────────────
+function makeLeaf(world: World, parent?: Entity): Entity {
+  const e = world.spawn();
+  world.add(e, Task, { kind: "leaf" });
+  if (parent) world.relate(e, ChildOf, parent);
+  return e;
+}
+
+function makeSequential(world: World, parent?: Entity): Entity {
+  const e = world.spawn();
+  world.add(e, Task, { kind: "sequential" });
+  if (parent) world.relate(e, ChildOf, parent);
+  return e;
+}
+
+function makeParallel(world: World, parent?: Entity): Entity {
+  const e = world.spawn();
+  world.add(e, Task, { kind: "parallel" });
+  if (parent) world.relate(e, ChildOf, parent);
+  return e;
+}
+
+function makeRandom(world: World, parent?: Entity): Entity {
+  const e = world.spawn();
+  world.add(e, Task, { kind: "random" });
+  if (parent) world.relate(e, ChildOf, parent);
+  return e;
+}
+
+// ── Leaf tasks ──────────────────────────────────────
+describe("Leaf tasks", () => {
+  let world: World;
+  let runner: TaskRunner;
+
+  beforeEach(() => {
+    world = new World();
+    runner = new TaskRunner(world);
+  });
+
+  it("calls onLeaf when a leaf is scheduled and ticked", () => {
+    const leaf = makeLeaf(world);
+    const calls: Entity[] = [];
+
+    runner.onLeaf = (_w, e) => calls.push(e);
+    runner.schedule(leaf);
+    runner.tick();
+
+    expect(calls).toEqual([leaf]);
+  });
+
+  it("marks leaf as Running after tick", () => {
+    const leaf = makeLeaf(world);
+    runner.schedule(leaf);
+    runner.tick();
+
+    expect(world.has(leaf, Running)).toBe(true);
+    expect(world.has(leaf, Scheduled)).toBe(false);
+  });
+
+  it("succeed() marks leaf as Succeeded", () => {
+    const leaf = makeLeaf(world);
+    runner.schedule(leaf);
+    runner.tick();
+    runner.succeed(leaf);
+
+    expect(world.has(leaf, Succeeded)).toBe(true);
+    expect(world.has(leaf, Running)).toBe(false);
+  });
+
+  it("fail() marks leaf as Failed", () => {
+    const leaf = makeLeaf(world);
+    runner.schedule(leaf);
+    runner.tick();
+    runner.fail(leaf);
+
+    expect(world.has(leaf, Failed)).toBe(true);
+    expect(world.has(leaf, Running)).toBe(false);
+  });
+
+  it("cancel() marks leaf as Cancelled", () => {
+    const leaf = makeLeaf(world);
+    runner.schedule(leaf);
+    runner.tick();
+    runner.cancel(leaf);
+
+    expect(world.has(leaf, Cancelled)).toBe(true);
+    expect(world.has(leaf, Running)).toBe(false);
+  });
+
+  it("onTerminal is called when leaf finishes", () => {
+    const leaf = makeLeaf(world);
+    const terminals: { entity: Entity; status: string }[] = [];
+
+    runner.onTerminal = (_w, e, s) => terminals.push({ entity: e, status: s });
+    runner.schedule(leaf);
+    runner.tick();
+    runner.succeed(leaf);
+
+    expect(terminals).toEqual([{ entity: leaf, status: "succeeded" }]);
+  });
+
+  it("reset() clears all status tags", () => {
+    const leaf = makeLeaf(world);
+    runner.schedule(leaf);
+    runner.tick();
+    runner.succeed(leaf);
+
+    runner.reset(leaf);
+
+    expect(world.has(leaf, Succeeded)).toBe(false);
+    expect(world.has(leaf, Running)).toBe(false);
+    expect(world.has(leaf, Scheduled)).toBe(false);
+  });
+});
+
+// ── Sequential ──────────────────────────────────────
+describe("Sequential tasks", () => {
+  let world: World;
+  let runner: TaskRunner;
+
+  beforeEach(() => {
+    world = new World();
+    runner = new TaskRunner(world);
+  });
+
+  it("runs children one at a time in order", () => {
+    const seq = makeSequential(world);
+    const a = makeLeaf(world, seq);
+    const b = makeLeaf(world, seq);
+    const c = makeLeaf(world, seq);
+
+    const leafCalls: Entity[] = [];
+    runner.onLeaf = (_w, e) => leafCalls.push(e);
+
+    runner.schedule(seq);
+    runner.tick(); // schedules first child
+    expect(world.has(a, Scheduled)).toBe(true);
+    expect(world.has(b, Scheduled)).toBe(false);
+    expect(world.has(c, Scheduled)).toBe(false);
+
+    runner.tick(); // runs a
+    runner.succeed(a);
+
+    // parent should be re-scheduled
+    runner.tick(); // schedules next child
+    expect(world.has(b, Scheduled)).toBe(true);
+
+    runner.tick(); // runs b
+    runner.succeed(b);
+
+    runner.tick(); // schedules c
+    expect(world.has(c, Scheduled)).toBe(true);
+
+    runner.tick(); // runs c
+    runner.succeed(c);
+
+    // parent should now be scheduled and succeed
+    runner.tick();
+    expect(world.has(seq, Succeeded)).toBe(true);
+  });
+
+  it("fails immediately when a child fails", () => {
+    const seq = makeSequential(world);
+    const a = makeLeaf(world, seq);
+    const b = makeLeaf(world, seq);
+
+    runner.schedule(seq);
+    runner.tick(); // schedules a
+    runner.tick(); // runs a
+    runner.fail(a);
+
+    // parent re-scheduled
+    runner.tick(); // sees a failed → seq fails
+    expect(world.has(seq, Failed)).toBe(true);
+    // b was never touched
+    expect(world.has(b, Scheduled)).toBe(false);
+    expect(world.has(b, Running)).toBe(false);
+  });
+
+  it("succeeds when all children succeed", () => {
+    const seq = makeSequential(world);
+    const a = makeLeaf(world, seq);
+    const b = makeLeaf(world, seq);
+
+    runner.schedule(seq);
+    runner.tick(); // schedules a
+    runner.tick(); // runs a
+    runner.succeed(a);
+    runner.tick(); // schedules b
+    runner.tick(); // runs b
+    runner.succeed(b);
+    runner.tick(); // seq succeeds
+
+    expect(world.has(seq, Succeeded)).toBe(true);
+  });
+
+  it("propagates terminal to grandparent", () => {
+    const root = makeSequential(world);
+    const child = makeSequential(world, root);
+    const leaf = makeLeaf(world, child);
+
+    const terminals: Entity[] = [];
+    runner.onTerminal = (_w, e) => terminals.push(e);
+
+    runner.schedule(root);
+    runner.tick(); // schedules child
+    runner.tick(); // schedules leaf
+    runner.tick(); // runs leaf
+    runner.succeed(leaf);
+    runner.tick(); // child succeeds
+    runner.tick(); // root succeeds
+
+    expect(terminals).toEqual([leaf, child, root]);
+    expect(world.has(root, Succeeded)).toBe(true);
+  });
+
+  it("empty sequential succeeds immediately", () => {
+    const seq = makeSequential(world);
+
+    runner.schedule(seq);
+    runner.tick();
+
+    expect(world.has(seq, Succeeded)).toBe(true);
+  });
+});
+
+// ── Parallel ────────────────────────────────────────
+describe("Parallel tasks", () => {
+  let world: World;
+  let runner: TaskRunner;
+
+  beforeEach(() => {
+    world = new World();
+    runner = new TaskRunner(world);
+  });
+
+  it("schedules all children at once", () => {
+    const par = makeParallel(world);
+    const a = makeLeaf(world, par);
+    const b = makeLeaf(world, par);
+    const c = makeLeaf(world, par);
+
+    runner.schedule(par);
+    runner.tick();
+
+    expect(world.has(a, Scheduled)).toBe(true);
+    expect(world.has(b, Scheduled)).toBe(true);
+    expect(world.has(c, Scheduled)).toBe(true);
+  });
+
+  it("succeeds when all children succeed", () => {
+    const par = makeParallel(world);
+    const a = makeLeaf(world, par);
+    const b = makeLeaf(world, par);
+
+    runner.schedule(par);
+    runner.tick(); // schedules both
+
+    runner.tick(); // runs a
+    runner.succeed(a);
+
+    // par is re-scheduled, but b is still running
+    runner.tick(); // par sees a done, b still needs scheduling
+    // b should be scheduled (it was removed from Scheduled when ticked)
+    // Actually: b was scheduled in first tick, then ticked in second tick
+    // Let me trace more carefully...
+
+    // After first tick: a=Scheduled, b=Scheduled, par=no status
+    // Second tick processes Scheduled: a and b both get ticked
+    // a runs, b runs. Both are Running.
+    // We succeed a → par gets Scheduled
+    // Third tick: par sees a=Succeeded, b=Running → waits
+    // We need to succeed b too
+    runner.succeed(b);
+    // par gets Scheduled again
+    runner.tick(); // par sees both done → succeeds
+
+    expect(world.has(par, Succeeded)).toBe(true);
+  });
+
+  it("fails immediately when any child fails", () => {
+    const par = makeParallel(world);
+    const a = makeLeaf(world, par);
+    const b = makeLeaf(world, par);
+
+    runner.schedule(par);
+    runner.tick(); // schedules both
+    runner.tick(); // runs a
+    runner.tick(); // runs b
+    runner.fail(a);
+
+    // par re-scheduled
+    runner.tick(); // sees a failed → par fails
+    expect(world.has(par, Failed)).toBe(true);
+  });
+
+  it("empty parallel succeeds immediately", () => {
+    const par = makeParallel(world);
+
+    runner.schedule(par);
+    runner.tick();
+
+    expect(world.has(par, Succeeded)).toBe(true);
+  });
+});
+
+// ── Random ──────────────────────────────────────────
+describe("Random tasks", () => {
+  let world: World;
+  let runner: TaskRunner;
+
+  beforeEach(() => {
+    world = new World();
+    runner = new TaskRunner(world);
+  });
+
+  it("picks one child and succeeds/fails with it", () => {
+    const rand = makeRandom(world);
+    const a = makeLeaf(world, rand);
+    const b = makeLeaf(world, rand);
+
+    runner.schedule(rand);
+    runner.tick();
+
+    // Exactly one child should be scheduled
+    const scheduled = [world.has(a, Scheduled), world.has(b, Scheduled)];
+    expect(scheduled.filter(Boolean)).toHaveLength(1);
+
+    const picked = world.has(a, Scheduled) ? a : b;
+    runner.tick(); // runs picked leaf
+    runner.succeed(picked);
+
+    runner.tick(); // random sees child done → succeeds
+    expect(world.has(rand, Succeeded)).toBe(true);
+  });
+
+  it("fails when picked child fails", () => {
+    const rand = makeRandom(world);
+    const a = makeLeaf(world, rand);
+
+    runner.schedule(rand);
+    runner.tick(); // schedules a (only child)
+    runner.tick(); // runs a
+    runner.fail(a);
+    runner.tick(); // random fails
+
+    expect(world.has(rand, Failed)).toBe(true);
+  });
+
+  it("empty random does nothing (no children to pick)", () => {
+    const rand = makeRandom(world);
+
+    runner.schedule(rand);
+    runner.tick();
+
+    // No children, so no status change
+    expect(world.has(rand, Succeeded)).toBe(false);
+    expect(world.has(rand, Failed)).toBe(false);
+  });
+});
+
+// ── Cancel ──────────────────────────────────────────
+describe("Cancel", () => {
+  let world: World;
+  let runner: TaskRunner;
+
+  beforeEach(() => {
+    world = new World();
+    runner = new TaskRunner(world);
+  });
+
+  it("cancels all descendants", () => {
+    const root = makeSequential(world);
+    const child = makeParallel(world, root);
+    const a = makeLeaf(world, child);
+    const b = makeLeaf(world, child);
+
+    runner.schedule(root);
+    runner.tick(); // schedules child
+    runner.tick(); // schedules a, b
+    runner.tick(); // runs a
+    runner.tick(); // runs b
+
+    runner.cancel(root);
+
+    expect(world.has(root, Cancelled)).toBe(true);
+    expect(world.has(child, Cancelled)).toBe(true);
+    expect(world.has(a, Cancelled)).toBe(true);
+    expect(world.has(b, Cancelled)).toBe(true);
+  });
+
+  it("cancel propagates to parent", () => {
+    const root = makeSequential(world);
+    const child = makeSequential(world, root);
+    const leaf = makeLeaf(world, child);
+
+    runner.schedule(root);
+    runner.tick(); // schedules child
+    runner.tick(); // schedules leaf
+    runner.tick(); // runs leaf
+
+    runner.cancel(leaf);
+
+    // leaf cancelled → child re-scheduled → child sees leaf cancelled → child cancelled
+    runner.tick(); // child processes cancelled leaf
+    expect(world.has(child, Cancelled)).toBe(true);
+
+    // child cancelled → root re-scheduled → root sees child cancelled → root cancelled
+    runner.tick();
+    expect(world.has(root, Cancelled)).toBe(true);
+  });
+});
+
+// ── Multi-frame leaves ──────────────────────────────
+describe("Multi-frame leaves", () => {
+  let world: World;
+  let runner: TaskRunner;
+
+  beforeEach(() => {
+    world = new World();
+    runner = new TaskRunner(world);
+  });
+
+  it("leaf stays Running across ticks until explicitly finished", () => {
+    const leaf = makeLeaf(world);
+
+    runner.schedule(leaf);
+    runner.tick();
+
+    expect(world.has(leaf, Running)).toBe(true);
+
+    // Tick again — leaf is Running, not Scheduled, so nothing happens
+    runner.tick();
+    expect(world.has(leaf, Running)).toBe(true);
+
+    // External system finishes it
+    runner.succeed(leaf);
+    expect(world.has(leaf, Succeeded)).toBe(true);
+    expect(world.has(leaf, Running)).toBe(false);
+  });
+
+  it("sequential waits for multi-frame leaf before advancing", () => {
+    const seq = makeSequential(world);
+    const a = makeLeaf(world, seq);
+    const b = makeLeaf(world, seq);
+
+    runner.schedule(seq);
+    runner.tick(); // schedules a
+    runner.tick(); // runs a → Running
+
+    // Tick several times — seq should not advance
+    runner.tick();
+    runner.tick();
+    expect(world.has(b, Scheduled)).toBe(false);
+    expect(world.has(b, Running)).toBe(false);
+
+    // Finish a
+    runner.succeed(a);
+    runner.tick(); // seq schedules b
+    expect(world.has(b, Scheduled)).toBe(true);
+  });
+});
+
+// ── Edge cases ──────────────────────────────────────
+describe("Edge cases", () => {
+  it("schedule() is a no-op on non-task entities", () => {
+    const world = new World();
+    const runner = new TaskRunner(world);
+    const e = world.spawn();
+
+    runner.schedule(e);
+    expect(world.has(e, Scheduled)).toBe(false);
+  });
+
+  it("succeed/fail/cancel are no-ops on non-task entities", () => {
+    const world = new World();
+    const runner = new TaskRunner(world);
+    const e = world.spawn();
+
+    expect(() => runner.succeed(e)).not.toThrow();
+    expect(() => runner.fail(e)).not.toThrow();
+    expect(() => runner.cancel(e)).not.toThrow();
+  });
+
+  it("tick is a no-op when nothing is scheduled", () => {
+    const world = new World();
+    const runner = new TaskRunner(world);
+    const leaf = makeLeaf(world);
+
+    // Leaf exists but is not Scheduled
+    expect(() => runner.tick()).not.toThrow();
+    expect(world.has(leaf, Running)).toBe(false);
+  });
+
+  it("deeply nested tree works correctly", () => {
+    const world = new World();
+    const runner = new TaskRunner(world);
+
+    const root = makeSequential(world);
+    const mid = makeSequential(world, root);
+    const leaf = makeLeaf(world, mid);
+
+    runner.schedule(root);
+
+    // Tick 1: root schedules mid
+    runner.tick();
+    expect(world.has(mid, Scheduled)).toBe(true);
+
+    // Tick 2: mid schedules leaf
+    runner.tick();
+    expect(world.has(leaf, Scheduled)).toBe(true);
+
+    // Tick 3: leaf runs
+    runner.tick();
+    expect(world.has(leaf, Running)).toBe(true);
+
+    runner.succeed(leaf);
+    // leaf done → mid scheduled
+
+    runner.tick(); // mid sees leaf done → mid succeeds
+    expect(world.has(mid, Succeeded)).toBe(true);
+
+    runner.tick(); // root sees mid done → root succeeds
+    expect(world.has(root, Succeeded)).toBe(true);
+  });
+});
diff --git a/tsup.config.ts b/tsup.config.ts
index 7eb0020..2b616dd 100644
--- a/tsup.config.ts
+++ b/tsup.config.ts
@@ -1,7 +1,7 @@
 import { defineConfig } from "tsup";
 
 export default defineConfig({
-  entry: ["src/index.ts", "src/commands/index.ts"],
+  entry: ["src/index.ts", "src/commands/index.ts", "src/bt/index.ts"],
   format: ["esm", "cjs"],
   dts: true,
   clean: true,