Update publishing readme

[317brian]

This updates the prod section of the release readme for the website steps. Previously, only staging was updated

This PR has:

• been self-reviewed.
  • using the concurrency checklist (Remove this item if the PR doesn't have any relation to concurrency.)
• added documentation for new or modified features or behaviors.
• a release note entry in the PR description.
• added Javadocs for most classes and all non-trivial methods. Linked related entities via Javadoc links.
• added or updated version, license, or notice information in licenses.yaml
• added comments explaining the "why" and the intent of the code wherever would not be obvious for an unfamiliar reader.
• added unit tests or modified existing tests to cover new code paths, ensuring the threshold for code coverage is met.
• added integration tests.
• been tested in a test Druid cluster.

[317brian]

@AmatyaAvadhanula and @LakshSingla could you both PTAL? You two did the last two releases, so let me know if there's any other info you wished you would have known while publishing.

Thanks @vtlim for talking through this with me

[LakshSingla]

It would be good to mention the minimum NPM(I think 16+ is to be used) and the Python(3.11 works properly, 3.6 doesn't) version to execute the steps properly.