fix(03-03): fix type compatibility and cleanup unused imports

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

apps/server/src/services/agent-executor.ts

@@ -83,7 +83,7 @@ export interface AgentExecutionOptions {
   sdkOptions?: {
     maxTurns?: number;
     allowedTools?: string[];
-    systemPrompt?: string;
+    systemPrompt?: string | { type: 'preset'; preset: 'claude_code'; append?: string };
     settingSources?: Array<'user' | 'project' | 'local'>;
   };
   /** Provider instance to use */

apps/server/src/services/auto-mode-service.ts

@@ -83,14 +83,7 @@ import {
   getPhaseModelWithOverrides,
 } from '../lib/settings-helpers.js';
 import { getNotificationService } from './notification-service.js';
-import {
-  parseTasksFromSpec,
-  detectTaskStartMarker,
-  detectTaskCompleteMarker,
-  detectPhaseCompleteMarker,
-  detectSpecFallback,
-  extractSummary,
-} from './spec-parser.js';
+import { extractSummary } from './spec-parser.js';
 import { AgentExecutor } from './agent-executor.js';
 
 const execAsync = promisify(exec);