I am currently utilizing the App Router feature in Next.js 13. However, I'm unsure about the recommended approach for managing server-side logs and Application Performance Monitoring (APM) in a production environment. I would like to integrate with services such as Sentry or Winston but I'm having trouble finding a relevant guide or manual.

Could you please provide guidance on how to effectively manage server-side logs and APM when using Next.js 13's App Router? Additionally, any information or resources on integrating with Sentry or Winston would be greatly appreciated.

Thank you!