Replace mypy and black with ruff (#262)

Author: Archmonger

.github/workflows/test-docs.yml

@@ -29,4 +29,4 @@ jobs:
             - name: Check docs build
               run: hatch run docs:build
             - name: Check docs examples
-              run: hatch run docs:check_examples
+              run: hatch fmt docs --check

.github/workflows/test-python.yml

@@ -31,3 +31,18 @@ jobs:
               run: hatch test --python ${{ matrix.python-version }} --ds=test_app.settings_single_db -v
             - name: Run Multi-DB Tests
               run: hatch test --python ${{ matrix.python-version }} --ds=test_app.settings_multi_db -v
+
+    python-formatting:
+        runs-on: ubuntu-latest
+        steps:
+            - uses: actions/checkout@v4
+            - uses: oven-sh/setup-bun@v2
+              with:
+                  bun-version: latest
+            - uses: actions/setup-python@v5
+              with:
+                  python-version: 3.x
+            - name: Install Python Dependencies
+              run: pip install --upgrade pip hatch uv
+            - name: Check Python formatting
+              run: hatch fmt src tests --check