Update Pipeline's badge count in Merge Request and Commits view to match real-time content

What does this MR do?

Update Pipeline's badge count in Merge Request and Commits view to match real-time content

Pipelines' tab content is loaded in real time, but the badge was not being updated accordingly.

Does this MR meet the acceptance criteria?

• Changelog entry added, if necessary
• 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?

Closes #34075 (closed)