chore(examples): remove `with-tigris` example (#81843)
## Summary
Remove the
[with-tigris](https://github.com/vercel/next.js/tree/canary/examples/with-tigris)
example and clean up its references in lint and test configs
Build:
- Remove with-tigris paths from .eslintignore
- Remove with-tigris entry from turbopack-dev-examples-manifest.json
Chores:
- Delete the with-tigris example directory and all its files
## Why?
[@tigrisdata/core](https://github.com/tigrisdata-archive/tigris-client-ts)
package hasn't been maintained in 2 years.
## 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>
