[Infrastructure] Add items in clickhouse.com/videos to Algolia search

[justindeguzman]

[johnnymatthews]

We're currently using the DocSearch service provided by Algolia to open-source projects. This is a pretty big limitation. We don't get any of the fun/useful features like search predictions, location-specific results, AI integrations, and all that stuff.

I'll check to see whether we can add multiple sites into a single index with DocSearch -- although I think not.

[johnnymatthews]

Yeahp...

[gingerwizard]

Or we just have a page in the docs what means these show up - @mneedham as video guru, can we maybe pull in a page into the docs so these show up?