chore: migrate oxlint & oxfmt (#15464)

#### PR Dependency Tree


* **PR #15464** 👈

This tree was auto-generated by
[Charcoal](https://github.com/danerwilliams/charcoal)

<!-- This is an auto-generated comment: release notes by coderabbit.ai
-->

## Summary by CodeRabbit

* **Chores**
* Replaced the project’s formatting and linting workflow with Oxfmt and
Oxlint.
* Added shared formatting and linting configuration, editor integration,
and updated automated checks.
* Updated generated files, scripts, and lint guidance to use the new
tooling.

* **Style**
* Reformatted templates, source code, examples, and configuration files
for consistent readability.
  * No user-facing functionality or rendering behavior changed.

<!-- end of auto-generated comment: release notes by coderabbit.ai -->

.gitignore

@@ -73,7 +73,6 @@ playwright/.cache
 download
 
 # Cache
-.eslintcache
 next-env.d.ts
 .rollup.cache