ci: Add formatter to run on all pull requests (#1488)

.github/workflows/format.yaml

@@ -0,0 +1,47 @@
+name: Run Formatting on Pull Requests
+
+on:
+  pull_request:
+    branches:
+      - "**" # Runs on all branches
+
+jobs:
+  format:
+    runs-on: ubuntu-latest
+
+    steps:
+      - name: Checkout repository
+        uses: actions/checkout@v4
+
+        # Ensure the pull request branch is checked out
+        with:
+          ref: ${{ github.head_ref }}
+
+      - name: Set up Python
+        uses: actions/setup-python@v5
+        with:
+          python-version: "3.x"
+
+      - name: Install dependencies
+        run: |
+          python -m pip install --upgrade pip nox
+
+      - name: Run Nox Format
+        run: nox -s format
+
+      - name: Check for uncommitted changes
+        id: git_diff
+        run: |
+          if [ -n "$(git status --porcelain)" ]; then
+            echo "changes_detected=true" >> $GITHUB_ENV
+          else
+            echo "changes_detected=false" >> $GITHUB_ENV
+          fi
+
+      - name: Commit and push changes
+        if: env.changes_detected == 'true'
+        run: |
+          git config --local user.name "github-actions[bot]"
+          git config --local user.email "github-actions[bot]@users.noreply.github.com"
+          git commit -am "Run nox format"
+          git push