ci: Set explicit permissions for Zed Zippy (#52895)

This hopefully fixes the permission issues we are seeing with the Zed
Zippy cherry picks

Release Notes:

- N/A
a212304ed2Finn Evers committed on 4/1/2026, 8:04:08 PM· committed by GitHubparent5a9c763
10 files changedLine totals unavailable