Integrate Sentry for error tracking and monitoring

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Description

The audit identified that there's no error tracking service integrated. Sentry would provide production error monitoring and alerting.

Context

Current state:

• No error tracking service
• Errors only in console/logs
• No alerting for production errors
• Difficult to debug production issues

Requirements

1. Install and Configure Sentry

   • Install @sentry/nextjs
   • Configure DSN and environment
   • Set up source maps

2. Error Tracking

   • Replace console.error with Sentry.captureException
   • Track API route errors
   • Track client-side errors
   • Add user context

3. Performance Monitoring

   • Track API route performance
   • Monitor slow queries
   • Set up alerts

4. Integration

   • Add to error.tsx
   • Add to API error handlers
   • Configure release tracking

Acceptance Criteria

• Sentry installed and configured
• Errors tracked in production
• Alerts configured
• Performance monitoring active
• Documentation updated

Related

• Audit Report: PR Project audit and review #63
• Audit Finding: Error Handling section - No error tracking

Priority

High - Critical for production monitoring