Merging RDS and Aurora postgres

I have an RDS PostgresSql database and an aurora postgres database set up currently and am trying to weigh how to merge them together.

For background info they are two different databases currently as they have different tables/schemas and are somewhat unrelated but ideally they would be in the same aurora database as the upkeep of the two databases is getting pretty annoying and logically the data is very similar. I am not entirely against leaving the two databases as is but I am doing due diligence and would prefer to merge ideally. All solutions I have seen generally deal with straight conversion to a new aurora instead of merging with an existing aurora database.

The RDS databse is currently postgres 11 and the aurora is postgres 13.8. Is there any clean way to combine these two into one aurora database? Or am I left to manually transfer the data somehow