Fix publishing with NPM tag without git tag

For reasons beyond my comprehension, when you assign `default` to a
GitHub Action input value, it does _not_ prefill the input with that
value when it is missing. I guess we are changing what `default` means?

.github/workflows/release.yml

@@ -188,6 +188,12 @@ jobs:
         with:
           submodules: true
 
+      - name: Setup Node.js
+        uses: actions/setup-node@v4
+        with:
+          token: ${{ secrets.NPM_TOKEN }}
+          registry-url: 'https://registry.npmjs.org'
+
       - name: Download artifacts
         id: download-artifact
         uses: actions/download-artifact@v4
@@ -199,8 +205,10 @@ jobs:
         run: |
           git config --global user.name 'github-actions[bot]'
           git config --global user.email 'github-actions[bot]@users.noreply.github.com'
-          npm publish --tag ${{ inputs.npm-tag }} --new-version $(echo $VERSION | sed 's/^v//')
+          npm version --allow-same-version --no-git-tag-version $VERSION
+          npm publish --tag $TAG
         if: ${{ !env.ACT }}
         env:
-          NPM_AUTH_TOKEN: ${{ secrets.NPM_TOKEN }}
+          NODE_AUTH_TOKEN: ${{ secrets.NPM_TOKEN }}
+          TAG: ${{ inputs.npm-tag || 'latest' }}
           VERSION: ${{ inputs.new-version || github.ref_name }}