chore(examples): remove `with-recoil` exmaple (#81836)
## Summary
Remove the deprecated
[with-recoil](https://github.com/vercel/next.js/tree/canary/examples/with-recoil)
example and update the examples manifest accordingly
Chores:
- Delete the examples/with-recoil directory and its contents
- Remove the with-recoil entry from
test/turbopack-dev-examples-manifest.json
## Why?
[Recoil](https://github.com/facebookexperimental/Recoil) was archived by
the owner on Jan 2, 2025.
## Adding or Updating Examples
- [x] The "examples guidelines" are followed from our contributing doc
https://github.com/vercel/next.js/blob/canary/contributing/examples/adding-examples.md
- [x] Make sure the linting passes by running `pnpm build && pnpm lint`.
See
https://github.com/vercel/next.js/blob/canary/contributing/repository/linting.md
cc: @samcx
Co-authored-by: Joseph <joseph.chamochumbi@vercel.com>
