工作台发起成绩修正后裁判端同步消息

lib/modules/home/views/home_page.dart

@@ -284,7 +284,15 @@ class _HomePageState extends State<HomePage> {
   Future<void> _loadUnreadMessages() async {
     try {
       final result = await _api.loadMessages(onlyUnread: true);
-      if (mounted) setState(() => _unreadMessages = result.data.length);
+      if (!mounted) return;
+      final previousCount = _unreadMessages;
+      final currentCount = result.data.length;
+      setState(() => _unreadMessages = currentCount);
+      if (!result.fromCache &&
+          currentCount > previousCount &&
+          _remoteTasks.isNotEmpty) {
+        await _loadTasks();
+      }
     } on ApiException {
       // 消息轮询失败不影响评分主流程。
     }