---
name: Release Patch
on: [workflow_dispatch]
jobs:
  build:
    runs-on: ubuntu-latest
    steps:
      - uses: actions/checkout@v2
      - uses: actions/setup-node@v1
        with:
          node-version: '16'
      - run: git config --global user.email "pakkun@cliffano.com"
      - run: git config --global user.name "pakkunbot"
      - run: npm install -g rtk
      - run: rtk release --release-increment-type patch
      - uses: ad-m/github-push-action@master
        with:
          tags: true
          github_token: ${{ secrets.STUDIO_GITHUB_TOKEN }}
          branch: ${{ github.ref }}

---
name: Release Patch
on: [workflow_dispatch]
jobs:
  build:
    runs-on: ubuntu-latest
    steps:
      - uses: actions/checkout@v2
        with:
          token: ${{ secrets.STUDIO_GITHUB_TOKEN }}
      - uses: actions/setup-node@v1
        with:
          node-version: '16'
      - run: git config --global user.email "pakkun@cliffano.com"
      - run: git config --global user.name "pakkunbot"
      - run: npm install -g rtk
      - run: rtk release --release-increment-type patch
      - uses: ad-m/github-push-action@master
        with:
          tags: true
          github_token: ${{ secrets.STUDIO_GITHUB_TOKEN }}
          branch: ${{ github.ref }}

Use same token between checkout and push.
Use same token between checkout and push.