fix(worker): broadcast TaskUpdated after online-inbox import

src/ClaudeDo.Worker/Online/OnlineSyncService.cs

@@ -1,6 +1,7 @@
 using ClaudeDo.Data;
 using ClaudeDo.Data.Models;
 using ClaudeDo.Data.Repositories;
+using ClaudeDo.Worker.Hub;
 using ClaudeDo.Worker.Online.Interfaces;
 using Microsoft.EntityFrameworkCore;
 using Microsoft.Extensions.Hosting;
@@ -15,19 +16,22 @@ public sealed class OnlineSyncService : BackgroundService
     private readonly IOnlineAuthProvider _auth;
     private readonly OnlineInboxConfig _config;
     private readonly ILogger<OnlineSyncService> _logger;
+    private readonly HubBroadcaster _broadcaster;
 
     public OnlineSyncService(
         IDbContextFactory<ClaudeDoDbContext> dbFactory,
         IOnlineInboxApi api,
         IOnlineAuthProvider auth,
         OnlineInboxConfig config,
-        ILogger<OnlineSyncService> logger)
+        ILogger<OnlineSyncService> logger,
+        HubBroadcaster broadcaster)
     {
         _dbFactory = dbFactory;
         _api = api;
         _auth = auth;
         _config = config;
         _logger = logger;
+        _broadcaster = broadcaster;
     }
 
     protected override async Task ExecuteAsync(CancellationToken stoppingToken)
@@ -129,6 +133,8 @@ public sealed class OnlineSyncService : BackgroundService
                 CommitType = CommitTypeRegistry.DefaultType,
             };
             await tasks.AddAsync(entity, ct);
+            // Without this the imported task only shows up after a manual reload.
+            await _broadcaster.TaskUpdated(entity.Id);
             await _api.MarkImportedAsync(remote.Id, ct);
 
             _logger.LogInformation("OnlineSyncService: imported task {Id} ('{Title}')", remote.Id, remote.Title);