ci: activate stale base handling (#12463)

## Thinking Path

> - Paperclip uses pull request checks to protect changes.
> - The trusted workflow selects GitHub or AWS runners.
> - Pull request #12462 removed an unreliable stale API equality.
> - The public caller must pin an immutable trusted workflow commit.
> - This pull request changes only that pin.
> - The benefit is correct AWS routing for trusted stacked pull
requests.

## Linked Issues or Issue Description

Refs #12339
Refs #12462

## What Changed

- Pin the thin pull request caller to
f9c32513b2.

## Verification

- actionlint .github/workflows/pr-trusted.yml .github/workflows/pr.yml
- github-runners/tests/test-workflow.sh .github/workflows/pr-trusted.yml
.github/workflows/pr.yml
- The runner group authorizes this SHA and all in-flight prior SHAs.

## Risks

- Low risk. This changes one immutable workflow reference.
- Older workflow SHAs remain authorized while queued and active jobs
finish.

## Model Used

- OpenAI Codex, GPT-5.6, with reasoning and terminal tool use.

## Checklist

- [x] I have included a thinking path that traces from project context
to this change
- [x] I have specified the model used with version and capability
details
- [x] I have checked ROADMAP.md and confirmed this PR does not duplicate
planned core work
- [x] I have searched GitHub for duplicate or related PRs and linked
them above
- [x] I have linked existing public pull requests
- [x] I have not referenced internal or instance-local Paperclip issues
or links
- [x] My branch name describes the change and contains no internal
ticket ID
- [x] I have run tests locally and they pass
- [x] I have added or updated tests where applicable
- [x] I have updated relevant documentation
- [x] I have considered and documented risks above
- [ ] All Paperclip CI gates are green
- [ ] Greptile is 5/5 with no open findings
- [x] I will address all Greptile and reviewer comments before
requesting merge

.github/workflows/pr.yml

@@ -10,4 +10,4 @@ permissions:
 
 jobs:
   ci:
-    uses: paperclipai/paperclip/.github/workflows/pr-trusted.yml@f929355fb9f4781ca46e542397fcaf2a110e6ca9
+    uses: paperclipai/paperclip/.github/workflows/pr-trusted.yml@f9c32513b2fe62586c60fa0b8863ebd21e5c7603