chore: Enhance type safety and improve code consistency across components

- Added a new `typecheck` script in `package.json` for better type checking in the UI workspace.
- Refactored several components to remove unnecessary type assertions and improve type safety, particularly in `new-project-modal.tsx`, `edit-project-dialog.tsx`, and `task-progress-panel.tsx`.
- Updated event handling in `git-diff-panel.tsx` to use async functions for better error handling.
- Improved type definitions in various files, including `setup-view` and `electron.ts`, to ensure consistent usage of types across the codebase.
- Cleaned up global type definitions for better clarity and maintainability.

These changes aim to streamline the development process and reduce potential runtime errors.

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

@@ -282,8 +282,10 @@ export function useSettingsSync(): SettingsSyncState {
       }
 
       logger.info('[SYNC_SEND] Sending settings update to server:', {
-        projects: (updates.projects as any)?.length ?? 0,
-        trashedProjects: (updates.trashedProjects as any)?.length ?? 0,
+        projects: Array.isArray(updates.projects) ? updates.projects.length : 0,
+        trashedProjects: Array.isArray(updates.trashedProjects)
+          ? updates.trashedProjects.length
+          : 0,
       });
 
       const result = await api.settings.updateGlobal(updates);