chore: Fix all 246 TypeScript errors in UI

- Extended SetupAPI interface with 20+ missing methods for Cursor, Codex,
  OpenCode, Gemini, and Copilot CLI integrations
- Fixed WorktreeInfo type to include isCurrent and hasWorktree fields
- Added null checks for optional API properties across all hooks
- Fixed Feature type conflicts between @automaker/types and local definitions
- Added missing CLI status hooks for all providers
- Fixed type mismatches in mutation callbacks and event handlers
- Removed dead code referencing non-existent GlobalSettings properties
- Updated mock implementations in electron.ts for all new API methods

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

apps/ui/src/hooks/use-project-settings-loader.ts

@@ -99,7 +99,7 @@ export function useProjectSettingsLoader() {
     // These are stored directly on the project, so we need to update both
     // currentProject AND the projects array to keep them in sync
     // Type assertion needed because API returns Record<string, unknown>
-    const settingsWithExtras = settings as Record<string, unknown>;
+    const settingsWithExtras = settings as unknown as Record<string, unknown>;
     const activeClaudeApiProfileId = settingsWithExtras.activeClaudeApiProfileId as
       | string
       | null