Add GHA workflow for building API docs

Author: wch

.github/workflows/build-docs.yaml

@@ -0,0 +1,40 @@
+name: Build API docs
+
+on:
+  workflow_dispatch:
+  push:
+    branches: ["main"]
+  pull_request:
+
+jobs:
+  build:
+    runs-on: ubuntu-latest
+    strategy:
+      matrix:
+        python-version: ["3.11"]
+      fail-fast: false
+
+    steps:
+      - uses: actions/checkout@v3
+
+      - name: Set up Python ${{ matrix.python-version }}
+        uses: actions/setup-python@v4
+        with:
+          python-version: ${{ matrix.python-version }}
+
+      - name: Upgrade pip
+        run: python -m pip install --upgrade pip
+
+      - name: Install Quarto
+        uses: quarto-dev/quarto-actions/setup@v2
+        with:
+          version: 1.3.340
+
+      - name: Install dependencies
+        run: |
+          cd docs
+          make deps
+
+      - name: Build site
+        run: |
+          make site