fix: sync autoUpdate settings to server

- Add autoUpdate to syncSettingsToServer list
- Make setAutoUpdate call syncSettingsToServer after state change

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude Opus 4.5 <[email protected]>

Author: amoscicki

apps/ui/src/hooks/use-settings-migration.ts

@@ -231,6 +231,7 @@ export async function syncSettingsToServer(): Promise<boolean> {
       projectHistory: state.projectHistory,
       projectHistoryIndex: state.projectHistoryIndex,
       lastSelectedSessionByProject: state.lastSelectedSessionByProject,
+      autoUpdate: state.autoUpdate,
     };
 
     const result = await api.settings.updateGlobal(updates);

apps/ui/src/store/app-store.ts

@@ -1572,10 +1572,13 @@ export const useAppStore = create<AppState & AppActions>()(
       },
 
       // Auto-Update Settings actions
-      setAutoUpdate: (settings) => {
+      setAutoUpdate: async (settings) => {
         set((state) => ({
           autoUpdate: { ...state.autoUpdate, ...settings },
         }));
+        // Sync to server settings file
+        const { syncSettingsToServer } = await import('@/hooks/use-settings-migration');
+        await syncSettingsToServer();
       },
 
       // AI Profile actions