Remove review-cleanup manual job from MRs

What does this MR do and why?

• Removes review-cleanup from MR pipelines (see #354341 (closed) for context).
• Updates the documentation to reflect that change.

Closes #354341 (closed)

How to set up and validate locally

Numbered steps to set up and validate the change are strongly suggested.

MR acceptance checklist

This checklist encourages us to confirm any changes have been analyzed to reduce risks in quality, performance, reliability, security, and maintainability.

• I have evaluated the MR acceptance checklist for this MR.

Related to #354341 (closed)