What is the improvement or update you wish to see?

The with-nestjs project example uses nestjs 10.

I guess it would be helpful to a lot of people to update it to 11.

Is there any context that might help us understand?

https://docs.nestjs.com/migration-guide

Does the docs page already exist? Please link to it.

https://github.com/vercel/turborepo/blob/main/examples/with-nestjs/README.md