[Action] Add auto-publish workflow (#368)

Author: ElizabethSamuel-MSFT

.github/workflows/auto-publish.yml

@@ -0,0 +1,32 @@
+name: auto-publish
+run-name: Automatically publish documentation
+on:
+  schedule:
+    - cron: '15 22 * * TUE'
+jobs:
+  auto-publish:
+    runs-on: windows-latest
+    permissions:
+      contents: write
+    defaults:
+      run:
+        shell: bash
+        working-directory: ./
+    steps:
+      - name: Check out repository
+        uses: actions/checkout@v4
+      - name: Check out live
+        run: |
+          echo "Checking out live branch"
+          git config user.name github-actions
+          git config user.email [email protected]
+          git checkout live
+      - name: Merge from main into live
+        run: |
+          echo "Merging from main to live"
+          git merge main
+      - name: Push changes
+        run: |
+          echo "Pushing changes to live branch"
+          git push origin live
+