[Bug]: Ensure `pyproject.toml` is correct as part of CI for PRs.

### What happened?

The dependencies in `requirements.txt` and `pyproject.toml` must match in order for the project to work correctly in development and when deployed.

However, there is currently no automated mechanism for ensuring that this is the case, except for the `build-and-release` job, which only runs on `main`.

We should call the `bin/test-package.sh` script as part of our CI on PRs to avoid this in the future.

### Versions

All

### Relevant log output

_No response_