Investigate page search use case

I want to investigate how Contentlayer can be used to implement page search experiences similar Algolia. This is a very common use case for docs pages and also with command pallets (e.g. https://github.com/timc1/kbar) becoming increasingly popular. The idea is to use Contentlayer's "document index" to power a search experience **locally** without requiring a server-side search service.

I imagine this to be very useful for the broader Contentlayer community and I'd like to use it myself for the Contentlayer website/docs. 🙃

Related:

- https://typesense.org

cc @sw-yx @seancdavis