chore: fix docs CI workflow (#149)

Signed-off-by: Aleksey Gurtovoy <aleks@wildbitscomputing.com>

Author: agurtovoy

.github/workflows/docs.yml

@@ -3,7 +3,10 @@ name: Build & Deploy Docs
 on:
   push:
     branches: [main]
-    paths: ["sphinx-docs/**"]
+    paths:
+      - ".github/workflows/docs.yml"
+      - "pyproject.toml"
+      - "sphinx-docs/**"
   workflow_dispatch:
 
 permissions:
@@ -25,11 +28,20 @@ jobs:
         with:
           python-version: "3.12"
 
+      - name: Install uv
+        uses: astral-sh/setup-uv@20cfd1bf945f4377ade1205e4dbc17946fc9a30d # v10.0.1
+        with:
+          enable-cache: true
+          cache-dependency-glob: |
+            pyproject.toml
+            sphinx-docs/pyproject.toml
+
       - name: Install dependencies
-        run: pip install -r sphinx-docs/requirements.txt
+        run: uv sync --all-packages
 
       - name: Build HTML
-        run: sphinx-build -b html sphinx-docs sphinx-docs/_build/html
+        working-directory: sphinx-docs
+        run: uv run --no-sync sphinx-build -b html . _build/html
 
       - name: Upload artifact
         uses: actions/upload-pages-artifact@v3