Use uv instead of pip in GHA publish workflow

Author: caleb531

.github/workflows/publish.yml

@@ -19,15 +19,13 @@ jobs:
     steps:
     - uses: actions/checkout@v3
 
-    - name: Install Python 3
-      uses: actions/setup-python@v3
+    - name: Install uv
+      uses: astral-sh/setup-uv@v5
       with:
-        python-version: "3.11"
+        python-version: "3.13"
 
-    - name: Install dependencies
-      run: |
-        python -m pip install --upgrade pip
-        python -m pip install -r requirements.txt
+    - name: Check lockfile
+      run: uv lock --check
 
     - name: Build a binary wheel and a source tarball
       run: uv build --sdist --wheel --out-dir dist/