Update publish.yml

Update publish workflow to use new PyPI trusted publisher authentication system

.github/workflows/publish.yml

@@ -7,6 +7,11 @@ on:
 jobs:
   publish:
     runs-on: ubuntu-latest
+    environment:
+      name: pypi
+      url: https://pypi.org/p/psm-utils
+    permissions:
+      id-token: write
     steps:
       - uses: actions/checkout@v4
 
@@ -17,15 +22,17 @@ jobs:
 
       - name: Install dependencies
         run: |
-          python -m pip install --upgrade pip flit
-          pip install --editable .[dev]
+          python -m pip install --upgrade pip flit pytest
+
+      - name: Build 
+        run: flit build
+
+      - name: Install
+        run: pip install dist/psm_utils-*.whl
 
       - name: Test package
         run: |
           pytest
 
-      - name: Build and publish to PyPI
-        env:
-          FLIT_USERNAME: ${{ secrets.PYPI_USERNAME }}
-          FLIT_PASSWORD: ${{ secrets.PYPI_PASSWORD }}
-        run: flit publish
+      - name: Publish to PyPI
+        uses: pypa/gh-action-pypi-publish@release/v1