[Research] Documents search implementation

It would be great to implement full-text search over the docs. There are several possible solutions, for example
1) https://typesense.org (I think it's the preferred one because it's open source and free)
2) https://www.algolia.com

It is necessary to see how easy or difficult it will be to integrate such a solution into our product and implement MVP.

Then give a reasoned answer whether it is worth integrating it or not and why