Remove PyPI publishing job from workflow

[jmborr]

The PyPI publishing steps have been removed from the GitHub Actions workflow. This change focuses the workflow solely on handling Anaconda uploads, simplifying the CI/CD setup and reducing maintenance efforts. Future PyPI publishing will need to be handled separately or reconfigured.

Description of the changes

Check all that apply:

• added release notes (if not, provide an explanation in the work description)
• updated documentation
• Source added/refactored
• Added unit tests
• Added integration tests

References:

• Links to IBM EWM items:
• Links to related issues or pull requests:

Manual test for the reviewer

Check list for the reviewer

• release notes updated, or an explanation is provided as to why release notes are unnecessary
• best software practices
  • clearly named variables (better to be verbose in variable names)
  • code comments explaining the intent of code blocks
• All the tests are passing
• The documentation is up to date
• code comments added when explaining intent