Feat docs (#1814)

* improve docs and formatting

* lint in ci

avoid using bundled prettier from vscode extension

* fix action, typos

* remove header

* remove unused deps

.github/workflows/lint.yml

@@ -7,9 +7,36 @@ on:
   pull_request:
 
 jobs:
+  docs:
+    name: Check Docs
+    runs-on: ubuntu-latest
+    if: github.repository_owner == 'wg-easy'
+
+    steps:
+      - name: Checkout repository
+        uses: actions/checkout@v4
+
+      - uses: pnpm/action-setup@v4
+        name: Install pnpm
+        with:
+          run_install: false
+
+      - name: Setup Node
+        uses: actions/setup-node@v4
+        with:
+          node-version: "lts/*"
+          check-latest: true
+          cache: "pnpm"
+
+      - name: Check docs formatting
+        run: |
+          pnpm install
+          pnpm format:check:docs
+
   lint:
     name: Lint
     runs-on: ubuntu-latest
+    needs: docs
     if: github.repository_owner == 'wg-easy'
 
     strategy: