diff --git a/.github/workflows/fix-pr-formatting.yml b/.github/workflows/fix-pr-formatting.yml
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+++ b/.github/workflows/fix-pr-formatting.yml
@@ -0,0 +1,37 @@
+# This is a format job. Pre-commit has a first-party GitHub action, so we use
+# that: https://github.com/pre-commit/action
+
+name: PR fix formatting
+
+on:
+  workflow_dispatch:
+  pull_request:
+
+jobs:
+  pre-commit:
+    name: Format
+    runs-on: ubuntu-22.04
+    steps:
+    - uses: actions/checkout@v4
+      with:
+        fetch-depth: 0 # fetch all history for all branches and tags, which might be needed when pushing commits.
+        token: ${{ secrets.BOT_PAT }}
+        ref: ${{ github.head_ref }}
+    - uses: actions/setup-python@v5
+      with:
+        python-version: 3.10.6
+    - name: Install system hooks
+      run: sudo apt update && sudo apt install -qq clang-format-14 cppcheck
+    - name: Run pre-commit checks
+      uses: pre-commit/action@v3.0.1
+      with:
+        extra_args: --all-files --hook-stage manual
+      continue-on-error: true
+    - name: Commit and push if changed
+      run: |
+        git diff
+        git config --global user.name 'github-actions[bot]'
+        git config --global user.email '41898282+github-actions[bot]@users.noreply.github.com'
+        git add -u
+        git commit -m "Automated code fixes by pre-commit." || echo "No changes to commit"
+        git push origin HEAD:${{ github.head_ref }}
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