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Description
This PR refactors how Pagefind is run after the build process. Instead of using the CLI via
npx, it now uses the Pagefind API directly.Feature-wise, there should be no changes but one aspect which will differ is logging.
We are now directly using a fork of the Starlight ingration logger. I didn't spend too much time on tweaking the logging output so far, but one huge difference is that we don't have access to the same informations when using the API vs CLI which access them using some internal Rust code and that data is not exposed via the API.
Personally, I never found the logging output of the CLI very useful, so I think this is an overall improvement but definitely something worth mentioning and discussing if needed.