fix(ci): configure git remote with token for authentication (#26949)

.github/workflows/release-promote.yml

@@ -403,6 +403,7 @@ jobs:
           BRANCH_NAME: '${{ steps.release_branch.outputs.BRANCH_NAME }}'
           DRY_RUN: '${{ github.event.inputs.dry_run }}'
           NEEDS_CALCULATE_VERSIONS_OUTPUTS_NEXT_NIGHTLY_VERSION: '${{ needs.calculate-versions.outputs.NEXT_NIGHTLY_VERSION }}'
+          GIT_PUSH_TOKEN: '${{ secrets.GEMINI_CLI_ROBOT_GITHUB_PAT }}'
         run: |-
           git add package.json packages/*/package.json
           if [ -f package-lock.json ]; then
@@ -411,7 +412,7 @@ jobs:
           git commit -m "chore(release): bump version to ${NEEDS_CALCULATE_VERSIONS_OUTPUTS_NEXT_NIGHTLY_VERSION}"
           if [[ "${DRY_RUN}" == "false" ]]; then
             echo "Pushing release branch to remote..."
-            git push --set-upstream origin "${BRANCH_NAME}"
+            git push "https://x-access-token:${GIT_PUSH_TOKEN}@github.com/${{ github.repository }}.git" "HEAD:${BRANCH_NAME}" --follow-tags
           else
             echo "Dry run enabled. Skipping push."
           fi