fix(runtime): restore interaction completion ownership

Preserve prepublication local motion completion, require the PartArray enter-world lifecycle port, and balance deferred Use busy ownership across dispatch and cancellation. Reconcile the completed GameWindow connected gates and add regression coverage.

Co-authored-by: Codex <codex@openai.com>

src/AcDream.App/Input/PlayerModeController.cs

@@ -386,6 +386,15 @@ internal sealed class PlayerModeController :
                     new MotionTableDispatchSink(sequencer);
             }
 
+            // Retail CPhysicsObj owns CMotionInterp and CPartArray throughout
+            // construction. Our split owners preserve that lifetime with a
+            // narrow preparation lease: SetPosition's synchronous type-5
+            // completion reaches this candidate MotionInterpreter, while the
+            // public controller slot remains unpublished until every other
+            // player-mode edge has prepared successfully.
+            using IDisposable motionPreparation =
+                _controllerSlot.BeginMotionPreparation(controller);
+
             ResolveResult initial = _physics.Resolve(
                 playerEntity.Position,
                 initialCellId,