Try creating and pushing the tag

.github/workflows/bump.yml

@@ -28,14 +28,27 @@ jobs:
           from packaging import version
           v = version.parse(setuptools_scm.get_version())
           with open(os.environ['GITHUB_OUTPUT'], 'a') as fh:
-            print(f'tag=v{v.major}.{v.minor + 1}.0', file=fh)
+            print(f'tag=v{v.major}.{v.minor}.{v.micro + 1}', file=fh)
 
       - name: Debug the next tag
         run: echo ${{ steps.get_next_tag.outputs.tag }}
 
-      - uses: rickstaa/action-create-tag@v1
-        id: "tag_create"
+      - uses: actions/github-script@v7
         with:
-          tag: ${{ steps.get_next_tag.outputs.tag }}
+          script: |
+            const newTag = await github.rest.git.createTag({
+              context.repo.owner,
+              context.repo.repo,
+              tag: '${{ steps.get_next_tag.outputs.tag }}',
+              object: process.env.GITHUB_SHA as string,
+              type: 'commit',
+            })
+
+            const newReference = await github.rest.git.createRef({
+              context.repo.owner,
+              context.repo.repo,
+              ref: `refs/tags/${newTag.data.tag}`,
+              sha: newTag.data.sha,
+            })
         env:
           GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}