- Centralize and align auto-merge eligibility logic across web and
mobile clients.
- Use the `enablePullRequestAutoMerge` GraphQL mutation instead of
`gh pr merge --auto` to prevent immediate merges on clean branches.
- Fall back to `gh pr merge --auto` when a merge queue is required on
the base branch.
- Hide the auto-merge control when only optional checks are pending.
Jinjing