chore(deps-dev): bump eslint from 9.39.2 to 10.0.0 in /site (#1470)

* chore(deps-dev): bump eslint from 9.39.2 to 10.0.0 in /site

Bumps [eslint](https://github.com/eslint/eslint) from 9.39.2 to 10.0.0.
- [Release notes](https://github.com/eslint/eslint/releases)
- [Commits](eslint/eslint@v9.39.2...v10.0.0)

---
updated-dependencies:
- dependency-name: eslint
  dependency-version: 10.0.0
  dependency-type: direct:development
  update-type: version-update:semver-major
...

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

* fix: resolve ESLint 10 peer dependency conflicts

Remove unused @babel/eslint-parser (incompatible with ESLint 10),
add @eslint/js as explicit dependency (no longer bundled in ESLint 10),
and update @typescript-eslint/utils for ESLint 10 support.

---------

Signed-off-by: dependabot[bot] <support@github.com>
Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com>
Co-authored-by: Marcos Sevilla <marcossevilla14@gmail.com>
Co-authored-by: Marcos Sevilla <31174242+marcossevilla@users.noreply.github.com>

Author: dependabot[bot]