feat(web): place full setup objects at their real transforms

Model TTSObjectTransform in shared types and convert each object's position, rotation, and scale into three.js placement, with per-class base-size corrections and a lay-flat rotation for extruded meshes.

docs/full-setup-view.md

@@ -23,8 +23,9 @@ user can see the entire scene at a glance.
 - `@tts/extract` provides `flattenObjects(mod)` / `traverseMod` to enumerate
   every object in a save.
 - `@tts/mesh` provides the shape + extrusion helpers used by the viewers.
-- `TTSObject` carries no position data, so exact table placement is not
-  recoverable — the full setup lays objects out itself.
+- Every object in a save carries a `Transform` (position/rotation/scale in TTS
+  world units), which the proxy passes through in the raw BSON. The shared
+  type now models it as `TTSObjectTransform`.
 
 ## Plan
 
@@ -56,10 +57,15 @@ view and the full-setup view.
 
 ### 3. Layout
 
-- Arrange objects in a grid on the "table" (fixed spacing, wrapping by row),
-  grouping by type so cards sit together, tiles together, etc.
-- `Scene`'s `Bounds fit` already auto-fits the camera to the full layout, so no
-  camera work is needed.
+- Place each object at its real position from the save's `Transform` instead of
+  a generated grid.
+- `components/viewers/transform.ts` converts a TTS transform to three.js:
+  TTS is left-handed (Y up, +Z toward the player), three.js is right-handed,
+  so Z is reflected in position and rotation. Each class also gets a base-size
+  correction (our viewer meshes are authored for inspection, in arbitrary
+  units) and a "lay flat" rotation for the extruded tile/token/card meshes.
+- `Scene`'s `Bounds fit` auto-fits the camera to the full layout, so no camera
+  work is needed.
 - Non-renderable objects (bags, dice, boards without assets) are skipped and
   counted, not dropped silently.
 
@@ -102,6 +108,9 @@ view and the full-setup view.
   export object-facing mesh wrappers
 - `apps/web/src/components/viewers/sharedResources.ts` — new geometry/material
   caches
+- `apps/web/src/components/viewers/transform.ts` — new TTS→three.js placement
+  conversion
+- `packages/shared/src/types.ts` — add `TTSObjectTransform`
 - `apps/web/src/pages/FullSetupPage.tsx` — new
 - `apps/web/src/App.tsx` — route
 - `apps/web/src/pages/ModPage.tsx` — nav link
@@ -110,6 +119,7 @@ view and the full-setup view.
 
 ## Open decisions (defaults in bold)
 
-- **Layout style** — **grouped grid** vs a fan/stack for cards.
+- **Layout style** — **real `Transform` placement** (was a grouped grid before
+  the transform data was wired in).
 - **Geometry/material cache lifetime** — **session-level module cache**
   (simplest, consistent with drei's global texture cache) vs dispose-on-unmount.