EPIC: Pyiceberg <> Iceberg-rust Integration

### What's the feature are you trying to implement?

During the community sync, we discussed creating a tracking issue for integrations between pyiceberg and iceberg-rust. Here are the current list of possible integrations

- [x] https://github.com/apache/iceberg-rust/issues/1280
- [ ] https://github.com/apache/iceberg-rust/issues/1144
- [ ] https://github.com/apache/iceberg-python/issues/2303

### Willingness to contribute

None

Start by reviewing the checked iceberg-rust issue 1280 and the open integration issues 1144 and pyiceberg issue 2303. Determine which integration work remains and define completion separately for each linked issue; this tracking issue does not name files, tests, or entry points.

Written by the indexing model from the issue text.