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At this point, the hotfix and its tag will be available to the public and the hotfix/x ref will exist publicly. The commit for the hotfix will always exist even when you later delete the hotfix/x branch ref. You can merge the hotfix branch back into master in GitHub's Pull Request page. There may be some reason why it's not desirable to merge this into master yet, but it is usually going to be a good idea to do so. You probably want to fold the fix back into the code that is currently under development and scheduled for the next release.
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