feat(intelligence): complete migration to Rust backend

- Unify all intelligence modules to use intelligenceClient
- Delete legacy TS implementations (agent-memory, reflection-engine, heartbeat-engine, context-compactor, agent-identity, memory-index)
- Update all consumers to use snake_case backend types
- Remove deprecated llm-integration.test.ts

This eliminates code duplication between frontend and backend, resolves
localStorage limitations, and enables persistent intelligence features.

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

desktop/src/App.tsx

@@ -18,6 +18,7 @@ import { useConnectionStore } from './store/connectionStore';
 import { useHandStore, type HandRun } from './store/handStore';
 import { useTeamStore } from './store/teamStore';
 import { useChatStore } from './store/chatStore';
+import { initializeStores } from './store';
 import { getStoredGatewayToken } from './lib/gateway-client';
 import { pageVariants, defaultTransition, fadeInVariants } from './lib/animations';
 import { Users, Loader2, Settings } from 'lucide-react';
@@ -156,7 +157,10 @@ function App() {
         setShowOnboarding(true);
       }
 
-      // Step 4: Bootstrap complete
+      // Step 4: Initialize stores with gateway client
+      initializeStores();
+
+      // Step 5: Bootstrap complete
       setBootstrapping(false);
     } catch (err) {
       console.error('[App] Bootstrap failed:', err);