Can this run on AWS Lambda with a EBS Blockstore?

Mentally this is the cheapest w/o all those egress costs, but I'm not sure. Combine that with we don't like managing resources outside AWS unless absolutely forced.

I really wanted this because RDS serverless v1 could do zero compute, but v2 has a minimum compute requirement.

If I can run my Postgres reliably on AWS Lambda, the costs drop to near zero for non production instances, which is where a lot of people play.