The challenge is that there are several ways of doing this depending on your larger architecture. So the definition of "just work" depends on the context of your particular architecture.

For eg: you could hook into your ORM and send change events to Typesense like another commenter pointed out; if you have an event bus, you could hook into those messages and push to Typesense from a listener; you could use something like Maxwell to get a JSON stream from the DB binlogs and write the data you need into Typesense; or you could write a batch script which runs a set of SQL queries on a schedule and batch export + import into Typesense.

Also, typically you'd want to curate the fields that you put in a search index, vs what you store in your transactional database, so there is some level of data transformation that's needed anyway.

So long story short, it depends on your architecture!