Local repository does not get new tag, only origin

Hey, just confirming if this is the expected behavior.

I have:
```
- name: Create new tag
id: tag
uses: mathieudutour/github-tag-action@v6.2
with:
github_token: ${{ github.token }}
fetch_all_tags: true
tag_prefix: releases/foo/

- name: Show
run: |
git tag -l 'releases/foo/*'
```

The `git tag -l` doesn't show the new tag that "Create new tag" generates.

```
Analysis of 4 commits complete: no release
New version is 0.0.20-debug-release-tag.0.
New tag after applying prefix is releases/foo/0.0.20-debug-release-tag.0.
Changelog is ### [0.0.20-debug-release-tag.0](https://github.com/xxx/xxx/compare/releases/foo/0.0.19...releases/foo/0.0.20-debug-release-tag.0) (2025-11-21)
.
Run git tag -l 'releases/foo/*'
git tag -l 'releases/foo/*'
shell: /usr/bin/bash --noprofile --norc -e -o pipefail {0}
releases/foo/0.0.17
releases/foo/0.0.18
releases/foo/0.0.19
releases/foo/0.0.19-fix-tmate.0
```

And if so, is it possible to get the tag locally so I don't have to re-run a `git fetch`?

Start with the workflow's “Create new tag” and “Show” steps, then inspect the action entry point responsible for creating and pushing tags. Reproduce the tag listing with `git tag -l 'releases/foo/*'` and determine whether the generated tag should be available locally without a separate fetch.

Written by the indexing model from the issue text.