fix(rooms): add real-time ownership transfer updates via WebSocket

When ownership is transferred via the moderation modal, both the old
and new host now see the change immediately without requiring a page
reload.

Added missing socket event handler for 'ownership-transferred' event:
- Server already broadcasts event with updated members (route.ts:82)
- Client now listens and updates React Query cache in real-time
- All components using useRoomData() automatically re-render
- Both sessions see host status changes instantly

Fixes issue where ownership transfer required manual page refresh
to see updated host permissions (game selection, moderation access).

🤖 Generated with [Claude Code](https://claude.com/claude-code)

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

apps/web/src/hooks/useRoomData.ts

@@ -464,6 +464,24 @@ export function useRoomData() {
       }
     }
 
+    const handleOwnershipTransferred = (data: {
+      roomId: string
+      oldOwnerId: string
+      newOwnerId: string
+      newOwnerName: string
+      members: RoomMember[]
+    }) => {
+      if (data.roomId === roomData?.id) {
+        queryClient.setQueryData<RoomData | null>(roomKeys.current(), (prev) => {
+          if (!prev) return null
+          return {
+            ...prev,
+            members: data.members,
+          }
+        })
+      }
+    }
+
     socket.on('room-joined', handleRoomJoined)
     socket.on('member-joined', handleMemberJoined)
     socket.on('member-left', handleMemberLeft)
@@ -474,6 +492,7 @@ export function useRoomData() {
     socket.on('room-invitation-received', handleInvitationReceived)
     socket.on('join-request-submitted', handleJoinRequestSubmitted)
     socket.on('room-game-changed', handleRoomGameChanged)
+    socket.on('ownership-transferred', handleOwnershipTransferred)
 
     return () => {
       socket.off('room-joined', handleRoomJoined)
@@ -486,6 +505,7 @@ export function useRoomData() {
       socket.off('room-invitation-received', handleInvitationReceived)
       socket.off('join-request-submitted', handleJoinRequestSubmitted)
       socket.off('room-game-changed', handleRoomGameChanged)
+      socket.off('ownership-transferred', handleOwnershipTransferred)
     }
   }, [socket, roomData?.id, queryClient])