Update the updated_at of a build while patching the trace

What does this MR do?

Fixes build patching trace. It should update the updated_at field of a build to make sure it will not be removed by stuck_ci_builds_worker.

Are there points in the code the reviewer needs to double check?

Construction of a test for the bug.

Why was this MR needed?

Please read #22087 (closed) for a reference.

Screenshots (if relevant)

Does this MR meet the acceptance criteria?

• CHANGELOG entry added
• Documentation created/updated
• API support added
• Tests
  • Added for this feature/bug
  • All builds are passing
• Conform by the merge request performance guides
• Conform by the style guides
• Branch has no merge conflicts with master (if it does - rebase it please)
• Squashed related commits together

What are the relevant issue numbers?

Fixes #22087 (closed)