feat(ui): Enhance AI model handling with Cursor support

- Refactor model handling to support both Claude and Cursor models across various components.
- Introduce `stripProviderPrefix` utility for consistent model ID processing.
- Update `CursorProvider` to utilize `isCursorModel` for model validation.
- Implement model override functionality in GitHub issue validation and enhancement routes.
- Add `useCursorStatusInit` hook to initialize Cursor CLI status on app startup.
- Update UI components to reflect changes in model selection and validation processes.

This update improves the flexibility of AI model usage and enhances user experience by allowing quick model overrides.

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

@@ -4,7 +4,7 @@ import type { Project, TrashedProject } from '@/lib/electron';
 import type {
   Feature as BaseFeature,
   FeatureImagePath,
-  AgentModel,
+  ModelAlias,
   PlanningMode,
   AIProfile,
   CursorModelId,
@@ -13,8 +13,8 @@ import type {
 } from '@automaker/types';
 import { getAllCursorModelIds, DEFAULT_PHASE_MODELS } from '@automaker/types';
 
-// Re-export ThemeMode for convenience
-export type { ThemeMode };
+// Re-export types for convenience
+export type { ThemeMode, ModelAlias };
 
 export type ViewMode =
   | 'welcome'
@@ -477,10 +477,10 @@ export interface AppState {
   muteDoneSound: boolean; // When true, mute the notification sound when agents complete (default: false)
 
   // Enhancement Model Settings
-  enhancementModel: AgentModel; // Model used for feature enhancement (default: sonnet)
+  enhancementModel: ModelAlias; // Model used for feature enhancement (default: sonnet)
 
   // Validation Model Settings
-  validationModel: AgentModel; // Model used for GitHub issue validation (default: opus)
+  validationModel: ModelAlias; // Model used for GitHub issue validation (default: opus)
 
   // Phase Model Settings - per-phase AI model configuration
   phaseModels: PhaseModelConfig;
@@ -760,13 +760,13 @@ export interface AppActions {
   setMuteDoneSound: (muted: boolean) => void;
 
   // Enhancement Model actions
-  setEnhancementModel: (model: AgentModel) => void;
+  setEnhancementModel: (model: ModelAlias) => void;
 
   // Validation Model actions
-  setValidationModel: (model: AgentModel) => void;
+  setValidationModel: (model: ModelAlias) => void;
 
   // Phase Model actions
-  setPhaseModel: (phase: PhaseModelKey, model: AgentModel | CursorModelId) => void;
+  setPhaseModel: (phase: PhaseModelKey, model: ModelAlias | CursorModelId) => void;
   setPhaseModels: (models: Partial<PhaseModelConfig>) => void;
   resetPhaseModels: () => void;