♻️ refactor: PLAYER_LIST와 SYSTEM_NOTICE 동기화

Author: silver-eunjoo

backend/src/main/java/io/f1/backend/domain/game/app/GameService.java

@@ -179,10 +179,11 @@ public void gameEnd(Room room) {
 
         if (!disconnectedPlayers.isEmpty()) {
             roomService.handleDisconnectedPlayers(room, disconnectedPlayers);
+        } else {
+            messageSender.sendBroadcast(
+                destination, MessageType.PLAYER_LIST, toPlayerListResponse(room));
         }
 
-        messageSender.sendBroadcast(
-                destination, MessageType.PLAYER_LIST, toPlayerListResponse(room));
 
         room.updateRoomState(RoomState.WAITING);
 

backend/src/main/java/io/f1/backend/domain/game/app/RoomService.java

@@ -340,6 +340,8 @@ public void exitRoomForDisconnectedPlayer(Long roomId, Player player, String ses
 
             messageSender.sendBroadcast(
                     destination, MessageType.SYSTEM_NOTICE, systemNoticeResponse);
+            messageSender.sendBroadcast(
+                destination, MessageType.PLAYER_LIST, toPlayerListResponse(room));
         }
     }