refactor(server): address PR #16 review feedback

Hoshe + Tyre review items:
- Use StableId consistently for wire entity_id (H4) across observer,
  observation, interpretation, and interaction systems
- Make NearbyInteractionBuffer.interactions private with take() (H1/H20)
- Add system ordering constraint for compute_nearby_interactions (H5)
- Panic on missing PlayerCharacter in input processing (H2)
- Remove redundant paused field from GameTime (Tyre8)
- Remove #[serde(default)] from nearby_interactions (H3)
- Change NearbyInteraction.distance from f32 to u32 (H8)
- Add sort stability for equal verb priorities (H6)
- Scope constants to pub(crate) (H7)
- Add debug_assert for last_observed_tick ordering (H10)
- Strengthen unregistered entity handling to debug_assert + error (H11)
- Document fractional tick accumulation (Tyre9)
- Extract collect_remembered_entities helper (Tyre2/H17)
- Add half_rate_no_drift_over_10000_frames test (H14)
- Add mid-range and deterministic sort tests (H15)
- Add fixture version assertion (H16)
- Regenerate msgpack fixtures for wire format changes

146 unit + 19 integration tests pass, zero clippy warnings.

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

server/src/bridge/mod.rs

@@ -102,7 +102,6 @@ pub fn generate_snapshot(
         day: time.day(),
         time_of_day: time.time_of_day_minutes(),
         day_phase: time.day_phase(),
-        paused: time.paused(),
         tick_rate: time.tick_rate,
     };
 
@@ -214,7 +213,8 @@ impl Plugin for BridgePlugin {
                     crate::perception::observation::emit_observation_events
                         .after(crate::perception::observer::compute_observer_snapshot),
                     send_bridge_snapshot
-                        .after(crate::perception::observer::compute_observer_snapshot),
+                        .after(crate::perception::observer::compute_observer_snapshot)
+                        .after(crate::simulation::interaction::compute_nearby_interactions),
                 ),
             );
         tracing::debug!("BridgePlugin initialized");

server/src/bridge/types.rs

@@ -32,7 +32,6 @@ pub struct ObserverSnapshot {
     pub visible_tiles: Vec<VisibleTile>,
     /// Entities within interaction range with available verbs (D-060, #404).
     /// Sorted by distance (nearest first). v0.1 client reads verbs[0] on the nearest entity.
-    #[serde(default)]
     pub nearby_interactions: Vec<NearbyInteraction>,
 }
 
@@ -46,10 +45,7 @@ pub struct GameTime {
     pub time_of_day: u64,
     /// Current day phase (Morning/Afternoon/Evening/Night)
     pub day_phase: DayPhase,
-    /// Whether simulation is paused (tick_rate == Paused)
-    pub paused: bool,
-    /// Current tick rate state (D-052)
-    #[serde(default)]
+    /// Current tick rate state (D-052). Client derives paused from TickRate::Paused.
     pub tick_rate: TickRate,
 }
 
@@ -156,8 +152,8 @@ pub struct NearbyInteraction {
     pub entity_id: u64,
     /// Entity type for client-side verb display
     pub entity_type: EntityKind,
-    /// Manhattan distance from player
-    pub distance: f32,
+    /// Manhattan distance from player (integer tiles)
+    pub distance: u32,
     /// Available verbs sorted by priority (index 0 = highest priority)
     pub verbs: Vec<VerbOption>,
 }