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

tests/ClaudeDo.Worker.Tests/Online/OnlineSyncServiceTests.cs

@@ -1,6 +1,7 @@
 using ClaudeDo.Data;
 using ClaudeDo.Data.Models;
 using ClaudeDo.Data.Repositories;
+using ClaudeDo.Worker.Hub;
 using ClaudeDo.Worker.Online;
 using ClaudeDo.Worker.Tests.Infrastructure;
 using Microsoft.Extensions.Logging.Abstractions;
@@ -55,7 +56,8 @@ public sealed class OnlineSyncServiceTests : IDisposable
         }
     }
 
-    private OnlineSyncService BuildService(FakeApi api, string? token = "test-token", bool enabled = true)
+    private OnlineSyncService BuildService(
+        FakeApi api, string? token = "test-token", bool enabled = true, HubBroadcaster? broadcaster = null)
     {
         var config = new OnlineInboxConfig { Enabled = enabled, PollIntervalSeconds = 60 };
         var auth = new StaticTokenAuthProvider(token);
@@ -64,7 +66,8 @@ public sealed class OnlineSyncServiceTests : IDisposable
             api,
             auth,
             config,
-            NullLogger<OnlineSyncService>.Instance);
+            NullLogger<OnlineSyncService>.Instance,
+            broadcaster ?? new HubBroadcaster(new CapturingHubContext()));
     }
 
     private async Task<(string ListId, ClaudeDoDbContext Ctx, TaskRepository Tasks, ListRepository Lists)> SeedAsync()
@@ -103,6 +106,26 @@ public sealed class OnlineSyncServiceTests : IDisposable
         Assert.Contains(remoteId, api.MarkedImported);
     }
 
+    [Fact]
+    public async Task Tick_Imports_RemoteTask_BroadcastsTaskUpdated()
+    {
+        var (listId, ctx, _, _) = await SeedAsync();
+        using var _ = ctx;
+
+        var remoteId = Guid.NewGuid().ToString();
+        var api = new FakeApi
+        {
+            UnimportedTasks = [new RemoteTask(remoteId, listId, "From Web", "desc", DateTimeOffset.UtcNow)],
+        };
+        var hubContext = new CapturingHubContext();
+        var svc = BuildService(api, broadcaster: new HubBroadcaster(hubContext));
+
+        await svc.TickAsync(CancellationToken.None);
+
+        Assert.Contains(hubContext.Proxy.Calls,
+            c => c.Method == "TaskUpdated" && (string)c.Args[0]! == remoteId);
+    }
+
     [Fact]
     public async Task Tick_UnknownList_Skips_And_DoesNotMark()
     {