Preserve variables when switching branches on run pipeline page

Summary

All entered variables are cleared when switching branches, requiring the user to re-enter all information.

It was part of the actionable insight from the FY25-Q2 SUS study.

• See the raw data here

Definition of Done

Variables entered by the user should persist when switching branches on the run pipeline page.

Details

Steps to reproduce:

• Navigate to the run pipeline page
• Fill out multiple pipeline variables
• Switch to a different branch using the branch selector

Roles involved

• Design
• Technical Writing
• Backend
• Frontend
• Test engineering

NOTE: When work is ready to be defined, please create appropriate sub-tasks.