chore: update GitHub Actions workflow to include permissions and authentication for package publishing

Author: onikiienko

.github/workflows/release.yml

@@ -68,6 +68,9 @@ jobs:
     runs-on: ubuntu-latest
     continue-on-error: false
     if: needs.release.outputs.releaseReady == 'true'
+    permissions:
+      contents: read
+      packages: write
     steps:
       - name: Cancel previous jobs
         uses: styfle/[email protected]
@@ -90,6 +93,11 @@ jobs:
           package-manager: "pnpm"
           scope: "@macpaw"
 
+      - name: Authenticate with GitHub Packages
+        run: |
+          echo "//npm.pkg.github.com/:_authToken=${{ secrets.GITHUB_TOKEN }}" > ~/.npmrc
+          echo "@macpaw:registry=https://npm.pkg.github.com/" >> ~/.npmrc
+
       - name: Publish to Github Registry
         id: changesets
         uses: changesets/action@v1