Update repo-sync.yml to use DOCS_BOT_PAT_REPO_SYNC (#55736)

Author: heiskr

.github/workflows/repo-sync.yml

@@ -28,15 +28,15 @@ jobs:
       - name: Sync repo to branch
         uses: repo-sync/github-sync@3832fe8e2be32372e1b3970bbae8e7079edeec88
         with:
-          source_repo: https://${{ secrets.DOCS_BOT_PAT_BASE }}@github.com/github/${{ github.repository == 'github/docs-internal' && 'docs' || 'docs-internal' }}.git
+          source_repo: https://${{ secrets.DOCS_BOT_PAT_REPO_SYNC }}@github.com/github/${{ github.repository == 'github/docs-internal' && 'docs' || 'docs-internal' }}.git
           source_branch: main
           destination_branch: repo-sync
-          github_token: ${{ secrets.DOCS_BOT_PAT_BASE }}
+          github_token: ${{ secrets.DOCS_BOT_PAT_REPO_SYNC }}
 
       - name: Ship pull request
         uses: actions/github-script@e69ef5462fd455e02edcaf4dd7708eda96b9eda0
         with:
-          github-token: ${{ secrets.DOCS_BOT_PAT_BASE }}
+          github-token: ${{ secrets.DOCS_BOT_PAT_REPO_SYNC }}
           result-encoding: string
           script: |
             const { owner, repo } = context.repo