feat: add periodic game.status broadcast and live status REST endpoint

Add 20-second game.status WebSocket heartbeat from active shard monitors
containing full game state, and GET /status-live REST endpoint for on-demand
polling. Fix missing token destructuring in SessionInfo causing crash.
Relax frontend polling from 3s to 60s since WebSocket events now cover
real-time updates. Bump version to 0.6.0.

Made-with: Cursor

frontend/src/pages/Picker.jsx

@@ -124,13 +124,13 @@ function Picker() {
     loadData();
   }, [isAuthenticated, authLoading, navigate, loadData]);
 
-  // Poll for active session status changes
+  // Fallback poll for session status — WebSocket events handle most updates
   useEffect(() => {
     if (!isAuthenticated || authLoading) return;
     
     const interval = setInterval(() => {
       checkActiveSession();
-    }, 3000);
+    }, 60000);
     
     return () => clearInterval(interval);
   }, [isAuthenticated, authLoading, checkActiveSession]);
@@ -939,7 +939,7 @@ function Picker() {
 }
 
 function SessionInfo({ sessionId, onGamesUpdate, playingGame, setPlayingGame }) {
-  const { isAuthenticated } = useAuth();
+  const { isAuthenticated, token } = useAuth();
   const [games, setGames] = useState([]);
   const [loading, setLoading] = useState(true);
   const [confirmingRemove, setConfirmingRemove] = useState(null);
@@ -968,11 +968,11 @@ function SessionInfo({ sessionId, onGamesUpdate, playingGame, setPlayingGame })
     loadGames();
   }, [sessionId, onGamesUpdate, loadGames]);
 
-  // Auto-refresh games list every 3 seconds
+  // Fallback polling — WebSocket events handle most updates; this is a safety net
   useEffect(() => {
     const interval = setInterval(() => {
       loadGames();
-    }, 3000);
+    }, 60000);
     
     return () => clearInterval(interval);
   }, [loadGames]);
@@ -1011,6 +1011,7 @@ function SessionInfo({ sessionId, onGamesUpdate, playingGame, setPlayingGame })
             'room.disconnected',
             'player-count.updated',
             'game.added',
+            'game.status',
           ];
 
           if (reloadEvents.includes(message.type)) {