fix: Complete fix for plan mode system across all providers

Closes #671 (Complete fix for the plan mode system inside automaker)
Related: #619, #627, #531, #660

## Issues Fixed

### 1. Non-Claude Provider Support
- Removed Claude model restriction from planning mode UI selectors
- Added `detectSpecFallback()` function to detect specs without `[SPEC_GENERATED]` marker
- All providers (OpenAI, Gemini, Cursor, etc.) can now use spec and full planning modes
- Fallback detection looks for structural elements: tasks block, acceptance criteria,
  problem statement, implementation plan, etc.

### 2. Crash/Restart Recovery
- Added `resetStuckFeatures()` to clean up transient states on auto-mode start
- Features stuck in `in_progress` are reset to `ready` or `backlog`
- Tasks stuck in `in_progress` are reset to `pending`
- Plan generation stuck in `generating` is reset to `pending`
- `loadPendingFeatures()` now includes recovery cases for interrupted executions
- Persisted task status in `planSpec.tasks` array allows resuming from last completed task

### 3. Spec Todo List UI Updates
- Added `ParsedTask` and `PlanSpec` types to `@automaker/types` for consistent typing
- New `auto_mode_task_status` event emitted when task status changes
- New `auto_mode_summary` event emitted when summary is extracted
- Query invalidation triggers on task status updates for real-time UI refresh
- Task markers (`[TASK_START]`, `[TASK_COMPLETE]`, `[PHASE_COMPLETE]`) are detected
  and persisted to planSpec.tasks for UI display

### 4. Summary Extraction
- Added `extractSummary()` function to parse summaries from multiple formats:
  - `<summary>` tags (explicit)
  - `## Summary` sections (markdown)
  - `**Goal**:` sections (lite mode)
  - `**Problem**:` sections (spec/full modes)
  - `**Solution**:` sections (fallback)
- Summary is saved to `feature.summary` field after execution
- Summary is extracted from plan content during spec generation

### 5. Worktree Mode Support (#619)
- Recovery logic properly handles branchName filtering
- Features in worktrees maintain correct association during recovery

## Files Changed
- libs/types/src/feature.ts - Added ParsedTask and PlanSpec interfaces
- libs/types/src/index.ts - Export new types
- apps/server/src/services/auto-mode-service.ts - Core fixes for all issues
- apps/server/tests/unit/services/auto-mode-task-parsing.test.ts - New tests
- apps/ui/src/store/app-store.ts - Import types from @automaker/types
- apps/ui/src/hooks/use-auto-mode.ts - Handle new events
- apps/ui/src/hooks/use-query-invalidation.ts - Invalidate on task updates
- apps/ui/src/types/electron.d.ts - New event type definitions
- apps/ui/src/components/views/board-view/dialogs/*.tsx - Enable planning for all models

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

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

libs/types/src/feature.ts

@@ -32,6 +32,50 @@ export interface FeatureTextFilePath {
   [key: string]: unknown;
 }
 
+/**
+ * A parsed task extracted from a spec/plan
+ * Used for spec and full planning modes to track individual task progress
+ */
+export interface ParsedTask {
+  /** Task ID, e.g., "T001" */
+  id: string;
+  /** Task description, e.g., "Create user model" */
+  description: string;
+  /** Optional file path for the task, e.g., "src/models/user.ts" */
+  filePath?: string;
+  /** Optional phase name for full mode, e.g., "Phase 1: Foundation" */
+  phase?: string;
+  /** Task execution status */
+  status: 'pending' | 'in_progress' | 'completed' | 'failed';
+}
+
+/**
+ * Plan specification status for feature planning modes
+ * Tracks the plan generation and approval workflow
+ */
+export interface PlanSpec {
+  /** Current status of the plan */
+  status: 'pending' | 'generating' | 'generated' | 'approved' | 'rejected';
+  /** The actual spec/plan markdown content */
+  content?: string;
+  /** Version number for tracking plan revisions */
+  version: number;
+  /** ISO timestamp when the spec was generated */
+  generatedAt?: string;
+  /** ISO timestamp when the spec was approved */
+  approvedAt?: string;
+  /** True if user has reviewed the spec */
+  reviewedByUser: boolean;
+  /** Number of completed tasks */
+  tasksCompleted?: number;
+  /** Total number of tasks in the spec */
+  tasksTotal?: number;
+  /** ID of the task currently being worked on */
+  currentTaskId?: string;
+  /** Parsed tasks from the spec content */
+  tasks?: ParsedTask[];
+}
+
 export interface Feature {
   id: string;
   title?: string;
@@ -54,16 +98,7 @@ export interface Feature {
   reasoningEffort?: ReasoningEffort;
   planningMode?: PlanningMode;
   requirePlanApproval?: boolean;
-  planSpec?: {
-    status: 'pending' | 'generating' | 'generated' | 'approved' | 'rejected';
-    content?: string;
-    version: number;
-    generatedAt?: string;
-    approvedAt?: string;
-    reviewedByUser: boolean;
-    tasksCompleted?: number;
-    tasksTotal?: number;
-  };
+  planSpec?: PlanSpec;
   error?: string;
   summary?: string;
   startedAt?: string;

libs/types/src/index.ts

@@ -67,6 +67,8 @@ export type {
   FeatureExport,
   FeatureImport,
   FeatureImportResult,
+  ParsedTask,
+  PlanSpec,
 } from './feature.js';
 
 // Session types