Add structured logging for requests and errors

Integrate a structured logging library and log incoming requests, response times, and errors. Include correlation or request ids where possible so logs can be traced across the stack.

Look for existing logging setup in the codebase, likely in server or middleware files. Research structured logging libraries like Winston or Pino for TypeScript. Implement logging for incoming requests, response times, and errors, ensuring correlation IDs are included. Test by running the application and verifying logs are structured and traceable.

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