[FEAT] Add a search engine to the website

Is your feature request related to a problem? Please describe.

It's currently impossible to search for specific terms.
Users must browse manually or rely on external search engines like Google.

Describe the solution you'd like

Add a built-in search engine that covers both the documentation and the blog.

Docusaurus supports:

Describe alternatives you've considered

  • Relying on Google site search (not ideal UX)
  • Manually browsing content (not scalable)

Additional context

Docusaurus search doc: https://docusaurus.io/docs/search