keep_update.sh

#!/bin/bash

json=$(gh pr list -B master --search "review:approved" --json number)
for number in $(echo "$json" | jq -r '.[].number'); do
gh api \
    --method PUT \
    -H "Accept: application/vnd.github+json" \
    -H "X-GitHub-Api-Version: 2022-11-28" \
    /repos/ORG/REPO/pulls/$number/update-branch
done

keep_update.yml

name: Keep update branches

on:
  push:
    branches:
      - master
  workflow_dispatch:

jobs:
  update_version:
    runs-on: ubuntu-latest
    steps:
      - uses: actions/checkout@v4
      - name: Update Branches
        env:
          GH_TOKEN: ${{ secrets.GITHUB_TOKEN }}
        run: sh keep_update.sh

keep_update_review.yml

name: Keep update branches(Review Approved)

on:
  pull_request_review:
    types: [submitted]

jobs:
  update_version:
    if: github.event.review.state == 'approved'
    runs-on: ubuntu-latest
    steps:
      - uses: actions/checkout@v4
      - name: Update Branches
        env:
          GH_TOKEN: ${{ secrets.GITHUB_TOKEN }}
        run: sh keep_update.sh