We have a "built-in" (for lack of a better term --- it's just another Fly app) multi-region single-write-leader clustered Postgres offering, but people also run their own databases directly here; the core feature is regionalized durable NVMe storage.
Yes, with a big disclaimer that "this is not managed Postgres" [1] and a list of alternatives at the end. As a hobbyist building a small website for fun, I took the hint and chose one of those.
You get to choose a region for your database, so now I'm thinking about how I want to deal with that.