Probably works out of the box if you used a GCP Postgres DB. The use case of pulling your data into a DB for analytics is very valid - I do it all the time now with Supabase.
If we wanted to try, you just need a connect string to your destination Postgres DB. Why Postgres and not Mysql … so there is a no brainer auto mapping of the Bubble datatypes to the DB - Mysql doesn’t have a list type, and at some point, the privacy rules will be auto-portable 
I’d be very happy to help support you to get GCP Postgres working …
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