Add stale workflow (#3672)

.changeset/eight-pears-grow.md

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+---
+"claude-dev": minor
+---
+
+Add stale workflow

.github/workflows/stale.yml

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+# This workflow will only label and/or close 30 issues at a time in order to avoid exceeding a rate limit.
+# More info: https://docs.github.com/en/actions/use-cases-and-examples/project-management/closing-inactive-issues
+name: Close inactive issues
+on:
+    schedule:
+        - cron: "30 1 * * *"
+
+jobs:
+    close-issues:
+        runs-on: ubuntu-latest
+        permissions:
+            issues: write
+            pull-requests: write
+        steps:
+            - uses: actions/stale@28ca103
+              with:
+                  days-before-issue-stale: 60
+                  days-before-issue-close: 14
+                  stale-issue-label: "stale"
+                  stale-issue-message: "This issue is stale because it has been open for 60 days with no activity."
+                  close-issue-message: "This issue was closed because it has been inactive for 14 days since being marked as stale."
+                  days-before-pr-stale: -1
+                  days-before-pr-close: -1
+                  exempt-issue-labels: "pinned,security"
+                  repo-token: ${{ secrets.GITHUB_TOKEN }}

.github/workflows/test-stale.yml

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+name: Test Stale Issues Workflow
+on:
+    workflow_dispatch:
+        inputs:
+            days-before-stale:
+                description: "Days before an issue becomes stale"
+                required: true
+                default: "1"
+            days-before-close:
+                description: "Days before a stale issue is closed"
+                required: true
+                default: "1"
+
+jobs:
+    test-stale:
+        runs-on: ubuntu-latest
+        permissions:
+            issues: write
+            pull-requests: write
+        steps:
+            - uses: actions/stale@28ca103
+              with:
+                  days-before-issue-stale: ${{ github.event.inputs.days-before-stale }}
+                  days-before-issue-close: ${{ github.event.inputs.days-before-close }}
+                  stale-issue-label: "stale"
+                  stale-issue-message: "This issue is stale because it has been open for ${{ github.event.inputs.days-before-stale }} days with no activity."
+                  close-issue-message: "This issue was closed because it has been inactive for ${{ github.event.inputs.days-before-close }} days since being marked as stale."
+                  days-before-pr-stale: -1
+                  days-before-pr-close: -1
+                  exempt-issue-labels: "pinned,security"
+                  repo-token: ${{ secrets.GITHUB_TOKEN }}
+                  debug-only: true