Multi-tenant and the Algolia plugin

[friarpat]

I've got the multi-tenant functionality set up with a couple of test tenants.
I installed the Algolia plugin, and as expected, only the default database was pushed to Algolia.

The assumption is I will need to spin up a multi-tenant version of the Algolia plugin.

My first attempt at this was to create a new Subscriber that would spin through the configured tenants and push the products to Algolia.
My problem is - the product service (as well as the search service) is already created and passed to the constructor in the injected dependencies when the SEARCH_INDEX_EVENT is fired/emitted - and that product service is for the default database.

How do I get a separate product service for each tenant so I can get the list of products pushed to Algolia using a tenant-specific index? Is there a way to set what connection the product service uses on the fly?

Once I've got the products pushed to Algolia, the same question comes up with the search service. I suspect that might be somewhat easier as I could override the current search service (or Algolia plugin) and add functionality to direct queries to a tenant specific index.

Thanks in advance.