Looking for a native MongoDB document extension for PostgreSQL (similar to pgvector like extension)

Hi everyone,

I am looking to handle document-store workloads directly inside PostgreSQL,
but using MongoDB-style query patterns or optimized storage structures.

To give an analogy: I highly appreciate how pgvector brings native vector
data types and specialized indexing (like HNSW) directly into Postgres,
keeping everything inside the same database engine.
I know Postgres has incredible jsonb capabilities natively, but I am
looking for a PostgreSQL extension that bridges the gap closer to MongoDB.
Specifically, I'm hoping to find something that provides:
1. A Native BSON Data Type: Storing binary JSON natively inside Postgres
for faster processing.
2. MongoDB API/Query Compatibility: The ability to run Mongo-like queries
directly on top of Postgres tables.

I am already aware of Foreign Data Wrappers like mongo_fdw, but that is for
querying a separate, external MongoDB instance. I want to keep the
data *natively
resident* inside Postgres.

Are there any active open-source extensions or projects that the community
recommends for this? (I have heard brief mentions of things like
pg_documentdb / FerretDB, but I'd like to get the community's perspective
on what is production-ready extension for it).

Best regards,

Pratik Pandit