feat: implement structured logging across server components

- Integrated a centralized logging system using createLogger from @automaker/utils, replacing console.log and console.error statements with logger methods for consistent log formatting and improved readability.
- Updated various modules, including auth, events, and services, to utilize the new logging system, enhancing error tracking and operational visibility.
- Refactored logging messages to provide clearer context and information, ensuring better maintainability and debugging capabilities.

This update significantly enhances the observability of the server components, facilitating easier troubleshooting and monitoring.

apps/server/src/providers/claude-provider.ts

@@ -7,7 +7,9 @@
 
 import { query, type Options } from '@anthropic-ai/claude-agent-sdk';
 import { BaseProvider } from './base-provider.js';
-import { classifyError, getUserFriendlyErrorMessage } from '@automaker/utils';
+import { classifyError, getUserFriendlyErrorMessage, createLogger } from '@automaker/utils';
+
+const logger = createLogger('ClaudeProvider');
 import { getThinkingTokenBudget } from '@automaker/types';
 import type {
   ExecuteOptions,
@@ -147,7 +149,7 @@ export class ClaudeProvider extends BaseProvider {
       const errorInfo = classifyError(error);
       const userMessage = getUserFriendlyErrorMessage(error);
 
-      console.error('[ClaudeProvider] executeQuery() error during execution:', {
+      logger.error('executeQuery() error during execution:', {
         type: errorInfo.type,
         message: errorInfo.message,
         isRateLimit: errorInfo.isRateLimit,