Hi Lucian Furtun •,
Thanks for your patience.
I have checked with the internal team, and we are sorry to inform that as of today, we only support a single database per Cosmos DB for PostgreSQL cluster. We are however, looking at longer-term options to support more databases down the road.
I would suggest you to raise feedback over Feedback Channel Azure Cosmos DB: Azure Cosmos DB · Community where team will look into the requests and work on it depending on the priority and up-votes.
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Thank you.