chore(examples): remove `with-tigris` example

[JamBalaya56562]

Summary

Remove the 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 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

[ijjk]

Allow CI Workflow Run

• [ ] approve CI run for commit: 5d53a5a30a239f2c05126db22273e3f1b15364ed

Note: this should only be enabled once the PR is ready to go and can only be enabled by a maintainer