feat(ui): Interactive chip for tasks with an open ConPTY session

A task driven by hand in Mission Control is Idle with an Active worktree, so its
lifecycle chip read "Parked" — indistinguishable from a task genuinely set aside.
The shell now mirrors Mission Control's open panes onto the rows, which show an
accent "Interactive" chip instead; tapping it surfaces Mission Control and
focuses that pane (the open command already dedupes by task id).

src/ClaudeDo.Ui/ViewModels/IslandsShellViewModel.cs

@@ -215,6 +215,8 @@ public sealed partial class IslandsShellViewModel : ViewModelBase, IDisposable
         MissionControl.ShowDetached = (monitor, reDock) => Dialogs?.ShowDetachedMonitor(monitor, reDock);
         MissionControl.OpenSettingsRequested = () => Lists.OpenSettingsCommand.Execute(null);
         MissionControl.ErrorReported += FlashFooterError;
+        // Keep the task rows' "Interactive" chip in step with Mission Control's open ConPTY panes.
+        MissionControl.ConPtySessions.CollectionChanged += (_, _) => SyncInteractiveSessionChips();
         _updateCheck = updateCheck;
         _installerLocator = installerLocator;
         _workerLocator = workerLocator;
@@ -330,6 +332,16 @@ public sealed partial class IslandsShellViewModel : ViewModelBase, IDisposable
             Dialogs.ShowMissionControl(MissionControl);
     }
 
+    private void SyncInteractiveSessionChips()
+    {
+        if (MissionControl is null) return;
+        Tasks.SyncInteractiveSessions(
+            MissionControl.ConPtySessions
+                .Select(s => s.TaskId)
+                .Where(id => !string.IsNullOrEmpty(id))
+                .Select(id => id!));
+    }
+
     [RelayCommand]
     private async Task OpenAbout()
     {