Create minor version from old tag in Github?

Question

I have an application for which we may create a hotfix branch from old tag (which is live in production). Current TAGs can be far ahead of that, as we may not release changes too quickly.

How can I create a minor version in continuation of the old tag now? For example,

Production TAG - 0.20.0
Expected TAG - 0.20.1
Generated TAG - 0.29.1

I'm using https://github.com/mathieudutour/github-tag-action v6 to generate the tag.

The GH action usage looks something like below:

   uses: mathieudutour/[email protected]
   with:
    github_token: ***
    default_bump: minor
    custom_release_rules: fix:patch,feat:minor,perf:major
    dry_run: true
    release_branches: main,hotfix
    default_prerelease_bump: prerelease
    create_annotated_tag: false
    fetch_all_tags: false