The idea that PostgreSQL is a superset of MongoDB is incorrect. As some examples, PostgreSQL doesn't shard, have multi-region, multi-cloud, enforce JSON schema, data governance, full JSON support, etc.
That said, PostgreSQL does do a lot of things MongoDB doesn't do.
The two products have a big feature overlap - both are great databases. I think you could build a modern app on either one. If you want to build in modern languages faster and have a more available system out of the box, I'd suggest MongoDB. If you have legacy skillsets, legacy apps, or just love relational, I'd suggest PostgreSQL.