feat: Enhance auto mode service with summary extraction and saving

- Added functionality to extract and save the final summary from multi-task or single-agent execution in the auto mode service.
- Updated event types in the query invalidation hook to include 'auto_mode_task_started' and 'auto_mode_task_complete' for better event handling.

apps/ui/src/hooks/use-query-invalidation.ts

@@ -47,6 +47,8 @@ const SINGLE_FEATURE_INVALIDATION_EVENTS: AutoModeEvent['type'][] = [
   'auto_mode_phase',
   'auto_mode_phase_complete',
   'auto_mode_task_status',
+  'auto_mode_task_started',
+  'auto_mode_task_complete',
   'auto_mode_summary',
 ];