drop token permissions for quick checks

.github/workflows/check-markdown.yml

@@ -9,7 +9,7 @@ permissions:
   packages: read
 
 jobs:
-  lint-markdown:
+  check-markdown:
     runs-on: arc-runners-polkadot-sdk
     timeout-minutes: 10
     steps:

.github/workflows/checks-quick.yml

@@ -12,6 +12,8 @@ concurrency:
   group: ${{ github.workflow }}-${{ github.event.pull_request.number || github.ref }}
   cancel-in-progress: true
 
+permissions: {}
+
 jobs:
   set-image:
     # GitHub Actions allows using 'env' in a container context.
@@ -95,3 +97,27 @@ jobs:
           --exclude
           "substrate/frame/contracts/fixtures/build"
           "substrate/frame/contracts/fixtures/contracts/common"
+  check-markdown:
+    runs-on: arc-runners-polkadot-sdk
+    timeout-minutes: 10
+    steps:
+      - name: Checkout sources
+        uses: actions/checkout@b4ffde65f46336ab88eb53be808477a3936bae11 # v4.1.1
+
+      - uses: actions/setup-node@v4.0.1
+        with:
+          node-version: "18.x"
+          registry-url: "https://npm.pkg.github.com"
+          scope: "@paritytech"
+
+      - name: Install tooling
+        run: |
+          npm install -g markdownlint-cli
+          markdownlint --version
+
+      - name: Check Markdown
+        env:
+          CONFIG: .github/.markdownlint.yaml
+        run: |
+          echo "Checking markdown formatting. More info: docs/contributor/markdown_linting.md"
+          markdownlint --config "$CONFIG" --ignore target .