Add a docs build stage to the tests workflow

.github/workflows/run_tests.yml

@@ -13,6 +13,7 @@ concurrency:
 jobs:
   testing:
     runs-on: ubuntu-latest
+    name: Testing
     strategy:
       matrix:
         python-version: ["3.8", "3.9", "3.10", "3.11", "3.12"]
@@ -37,3 +38,23 @@ jobs:
 
       - name: Coverage report
         uses: codecov/codecov-action@v1
+
+  docs:
+    runs-on: ubuntu-latest
+    name: Build Docs
+
+    steps:
+      - name: Checkout
+        uses: actions/checkout@v4
+
+      - name: Set up Python
+        uses: actions/setup-python@v5
+        with:
+          python-version: 3.x
+
+      - name: Install hatch
+        run: |
+          python -m pip install hatch
+
+      - name: Build
+        run: hatch run docs:mkdocs build