feat(protocol): deliver 'War Room' UI with Incursion Engine

We've transformed the Social-Dense Hub into a high-fidelity operational surface.
- BACKEND: Implemented Global Incursion Engine in agent-sessions.ts (N^2 overlap detection) and added the 60m 'Idle' state.
- API: Enriched the sessions payload with full metadata and active conflict arrays.
- HEADER: Delivered 4-state agent stations (Active/Stale/Evicted/Idle) with real-time 'time-ago' timers.
- FEED: Implemented the 'Fire Map' visuals:
  * Global Incursion Ticker: High-visibility alerts for agent collisions.
  * Local Conflict Badges: Pulsing pills on affected task cards.
- Refactored components for React-static compliance and strict TypeScript safety.

This commit completes the visibility track, allowing the human supervisor to monitor agent presence and friction in real-time.

OPERATIVE: silver-castle
SESSION: 2026-02-14-1430

tests/lib/agent-liveness.test.ts

@@ -82,9 +82,22 @@ test('deriveLiveness follows threshold rules (15m/30m default)', () => {
   );
 
   // Evicted: 1 hour ago
+  // Note: Since we added Idle at 60m, let's test 59m for Evicted and 60m for Idle
+  assert.equal(
+    deriveLiveness('2026-02-14T11:01:00Z', now),
+    'evicted'
+  );
+
+  // Idle: Exactly 60 mins ago
   assert.equal(
     deriveLiveness('2026-02-14T11:00:00Z', now),
-    'evicted'
+    'idle'
+  );
+
+  // Idle: 2 hours ago
+  assert.equal(
+    deriveLiveness('2026-02-14T10:00:00Z', now),
+    'idle'
   );
 });