chore(ci): add test build for docs (#3573)

.github/workflows/test-build-docs.yml

@@ -0,0 +1,35 @@
+
+name: test build docs
+on:
+  workflow_dispatch:
+  pull_request:
+    paths:
+      - '.github/workflows/test-build-docs.yml'
+      - 'docs/**'
+
+jobs:
+  deploy-docs:
+    runs-on: ubuntu-latest
+    steps:
+      - name: Checkout
+        uses: actions/checkout@v3
+
+      - name: Setup
+        uses: ./.github/actions/setup-bun
+        with:
+          working-directory: ./docs
+
+      - name: Cache build
+        uses: actions/cache@v3
+        with:
+          path: |
+            docs/.next/cache
+          key: ${{ runner.os }}-nextjs-${{ hashFiles('**/bun.lockb') }}-${{ hashFiles('**/package.json') }}
+          restore-keys: |
+            ${{ runner.os }}-nextjs-${{ hashFiles('**/bun.lockb') }}
+            ${{ runner.os }}-nextjs-
+
+      - name: Build docs
+        run: |
+          bun --cwd docs build
+          touch docs/out/.nojekyll