docs: Add Powered by Algolia label to the search.

[amareshsm]

Prerequisites checklist

• [x] I have read the contributing guidelines.

What is the purpose of this pull request? (put an "X" next to an item)

[ ] Documentation update [ ] Bug fix (template) [ ] New rule (template) [ ] Changes an existing rule (template) [ ] Add autofix to a rule [ ] Add a CLI option [ ] Add something to the core [x] Other, please explain: Added the Powered by Algolia label to the search.

What changes did you make? (Give an overview)

Added powered by Algolia label under the search box fixes: https://github.com/eslint/eslint/issues/18620

Is there anything you'd like reviewers to focus on?

Need to verify that the changes work correctly across all device screen sizes.

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[nzakas]

Same feedback as https://github.com/eslint/eslint.org/pull/595

[amareshsm]

How about if we link the 'Powered by Algolia' text to the site of Algolia?

Yes, we can link.