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You could combine CloudFlare workers and/or fly.io and YugaByte or CockroachDB psql-compatible DBs free tiers.

Heroku, had a free tier as well.

See https://free-for.dev/ for other possible combinations.

https://free-for.dev is a great resource I wasn't aware of, thanks for linking it as well as the ideas about YugaByte and CockroachDB!