Refactor GitHub Actions for documentation deployment

Updated deployment steps to use peaceiris/actions-gh-pages for GitHub Pages.

Author: sfxcode

.github/workflows/deploy-docs.yml

@@ -53,19 +53,10 @@ jobs:
         env:
           NUXT_APP_BASE_URL: /nuxt-ui-formkit/
 
-      - name: Upload artifact
-        uses: actions/upload-pages-artifact@v3
+      - name: Deploy
+        uses: peaceiris/actions-gh-pages@v4
         with:
-          path: ./docs/.output/public
-
-  deploy:
-    environment:
-      name: github-pages
-      url: ${{ steps.deployment.outputs.page_url }}
-    runs-on: ubuntu-latest
-    needs: build
-    steps:
-      - name: Deploy to GitHub Pages
-        id: deployment
-        uses: actions/deploy-pages@v4
+          github_token: ${{ secrets.GITHUB_TOKEN }}
+          publish_dir: ./docs/.output/public
+          # cname: example.com # if wanna deploy to custom domain