Bump the eslint group across 1 directory with 2 updates

Bumps the eslint group with 1 update in the /sample-api/clients/typescript directory: [@typescript-eslint/eslint-plugin](https://github.com/typescript-eslint/typescript-eslint/tree/HEAD/packages/eslint-plugin).


Updates `@typescript-eslint/eslint-plugin` from 8.61.1 to 8.62.1
- [Release notes](https://github.com/typescript-eslint/typescript-eslint/releases)
- [Changelog](https://github.com/typescript-eslint/typescript-eslint/blob/main/packages/eslint-plugin/CHANGELOG.md)
- [Commits](https://github.com/typescript-eslint/typescript-eslint/commits/v8.62.1/packages/eslint-plugin)

Updates `@typescript-eslint/parser` from 8.61.1 to 8.62.1
- [Release notes](https://github.com/typescript-eslint/typescript-eslint/releases)
- [Changelog](https://github.com/typescript-eslint/typescript-eslint/blob/main/packages/parser/CHANGELOG.md)
- [Commits](https://github.com/typescript-eslint/typescript-eslint/commits/v8.62.1/packages/parser)

---
updated-dependencies:
- dependency-name: "@typescript-eslint/eslint-plugin"
  dependency-version: 8.62.0
  dependency-type: direct:development
  update-type: version-update:semver-minor
  dependency-group: eslint
- dependency-name: "@typescript-eslint/parser"
  dependency-version: 8.62.0
  dependency-type: direct:development
  update-type: version-update:semver-minor
  dependency-group: eslint
...

Signed-off-by: dependabot[bot] <support@github.com>

Author: dependabot[bot]

sample-api/clients/typescript/package-lock.json

@@ -14,7 +14,7 @@
   "author": "",
   "license": "MIT",
   "devDependencies": {
-    "@typescript-eslint/eslint-plugin": "^8.61.1",
+    "@typescript-eslint/eslint-plugin": "^8.62.1",
     "@typescript-eslint/parser": "^8.32.1",
     "eslint": "^9.39.4",
     "eslint-config-prettier": "^10.1.8",