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 -->

tools/utils/src/format.ts

@@ -1,17 +1,22 @@
 import { readFileSync } from 'node:fs';
 
 import { once } from 'lodash-es';
-import { type BuiltInParserName, format } from 'prettier';
+import { format, type FormatConfig } from 'oxfmt';
 
 import { ProjectRoot } from './path';
 
 const readConfig = once(() => {
-  const path = ProjectRoot.join('.prettierrc').value;
-  const config = JSON.parse(readFileSync(path, 'utf-8'));
+  const path = ProjectRoot.join('.oxfmtrc.json').value;
+  const config = JSON.parse(readFileSync(path, 'utf-8')) as FormatConfig;
   return config;
 });
 
-export function prettier(content: string, parser: BuiltInParserName) {
-  const config = readConfig();
-  return format(content, { parser, ...config });
+export async function formatCode(content: string, fileName: string) {
+  const result = await format(fileName, content, readConfig());
+  if (result.errors.length) {
+    throw new Error(
+      result.errors.map(error => error.codeframe ?? error.message).join('\n')
+    );
+  }
+  return result.code;
 }