chore: migrate contexts to stores and refresh barrel exports

- Move state management from `src/contexts` to `src/stores` (zustand-based)
- Update barrelsby config to include new stores directory
- Add bottom-sheet and auth-background components
- Auto-open browser on dev server ready in VS Code launch config
- Refresh generated barrel index files

src/app/auth/components/index.ts

@@ -2,6 +2,7 @@
  * @file Automatically generated by barrelsby.
  */
 
+export * from "./auth-background";
 export * from "./auth-divider";
 export * from "./auth-email-panel";
 export * from "./auth-error-message";