Draft: Make branch info and badge sticky

What does this MR do and why?

Makes status badge & branch info sticky

• Can see status and branch info at all points in MR

Screenshots or screen recordings

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 #364574 (closed)