Keep the pane on the Project tab after Start and hold off the lead

internal/agents/tasks.go

@@ -56,6 +56,9 @@ func (m *Manager) StartTodo(ctx context.Context, project api.Project, creator ap
 	if err != nil {
 		return api.Task{}, fmt.Errorf("task %s created, but its agent did not start: %w", task.Id, err)
 	}
+	if actor == creator.Login {
+		m.setStartedTodo(creator.Login, true)
+	}
 	return task, nil
 }