feat(rooms): Add city-lobby with DAARWIZZ + fix API proxy

- Created city-lobby room as main public chat with DAARWIZZ
- Fixed /api/city/rooms proxy to use correct backend path (/api/v1/city/rooms)
- Updated district rooms with zone keys (leadership, system, engineering, etc.)
- Set MicroDAO lobbies as primary rooms
- Created seed_city_rooms.py script
- Created TASK_PHASE_CITY_ROOMS_AND_PUBLIC_CHAT_v1.md

Total: 35 rooms, 31 public, 10 districts

apps/web/src/app/api/city/rooms/route.ts

@@ -11,7 +11,7 @@ export async function GET(_req: NextRequest) {
   }
 
   try {
-    const res = await fetch(`${API_BASE}/city/rooms`, {
+    const res = await fetch(`${API_BASE}/api/v1/city/rooms`, {
       method: "GET",
       headers: { "Content-Type": "application/json" },
       cache: "no-store",