Update workflow to build with doc-gen4

.github/workflows/static.yml

@@ -1,5 +1,4 @@
-# Simple workflow for deploying static content to GitHub Pages
-name: Deploy static content to Pages
+name: Build and deploy documentation to Pages
 
 on:
   # Runs on pushes targeting the default branch
@@ -22,22 +21,36 @@ concurrency:
   cancel-in-progress: false
 
 jobs:
-  # Single deploy job since we're just deploying
-  deploy:
-    environment:
-      name: github-pages
-      url: ${{ steps.deployment.outputs.page_url }}
+  build:
+    name: Build SampCert Docs
     runs-on: ubuntu-latest
     steps:
       - name: Checkout
         uses: actions/checkout@v4
+      - name: Install elan
+        run: |
+          set -o pipefail
+          curl -sSfL https://github.com/leanprover/elan/releases/download/v1.4.2/elan-x86_64-unknown-linux-gnu.tar.gz | tar xz
+          ./elan-init -y --default-toolchain none
+          echo "$HOME/.elan/bin" >> $GITHUB_PATH
       - name: Setup Pages
         uses: actions/configure-pages@v5
+      - uses: actions/checkout@v4
+      - name: build std
+        id: build
+        run: lake build -Kwerror -Kenv=doc SampCert:docs
       - name: Upload artifact
         uses: actions/upload-pages-artifact@v3
         with:
-          # Upload entire repository
-          path: '.'
+          path: "./.lake/build/doc"
+
+  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