CI: Fix packaging by using hatch build instead of uv build

- Using `uv build` creates a wheel package without any code.
- Use Twine for validating the package.

Author: amotl

.github/workflows/release.yml

@@ -15,13 +15,25 @@ jobs:
     steps:
       - uses: actions/checkout@v6
         with:
+          fetch-depth: 0
+          fetch-tags: true
           persist-credentials: false
 
       - name: Set up uv
         uses: astral-sh/setup-uv@v7
+        with:
+          activate-environment: true
+          enable-cache: true
+          python-version: "3.14"
+
+      - name: Set up Hatch and Twine
+        run: uv pip install hatch twine
 
       - name: Build package
-        run: uv build
+        run: hatch build
+
+      - name: Validate package
+        run: twine check dist/*
 
       - name: Publish package to PyPI
         if: startsWith(github.event.ref, 'refs/tags')