feat(mission-control): give the list handler its own review task

"Let Claude handle it" now creates one ClaudeDo task per run to host the
ConPTY session (Idle/IsManual, never queued) instead of an untracked
ad-hoc tile, so the run has a real title, diff, and review outcome.
Since the handler merges its own changes straight into the list's
working dir, the task never gets a WorktreeEntity; its review range
lives as new HandlerBaseCommit/HandlerHeadCommit columns on TaskEntity
instead, reusing the existing commit-range diff machinery and keeping
it out of the worktrees overview entirely.

src/ClaudeDo.Data/Repositories/TaskRepository.cs

@@ -384,6 +384,19 @@ public sealed class TaskRepository
                 .SetProperty(t => t.PlanningSessionId, sessionId), ct);
     }
 
+    // Stamps the review range's head commit for a worktree-less "list handler" host task
+    // (Mission Control's "Let Claude handle it") when its ConPTY session is submitted for review.
+    public async Task SetHandlerHeadCommitAsync(
+        string taskId,
+        string headCommit,
+        CancellationToken ct = default)
+    {
+        await _context.Tasks
+            .Where(t => t.Id == taskId)
+            .ExecuteUpdateAsync(s => s
+                .SetProperty(t => t.HandlerHeadCommit, headCommit), ct);
+    }
+
     public async Task<TaskEntity?> FindByPlanningTokenAsync(
         string token,
         CancellationToken ct = default)