Problem
If you are admin in an org, but don't have explicit status in a repo, then GitHub reports you as having "CONTRIBUTOR" status in the repo. As a result, your comments etc. will be default be filtered.
This is a fundamental limitation of the GitHub API and what you can do with the GITHUB_TOKEN for GitHub Actions.
Workarounds
One workaround is to add the user as an admin/maintain/write on the particular repository. This will mean they have COLLABORATOR or similar permission.
Another workaround is to use a GitHub App or to register a PAT for integrity filtering with org membership access permission.
Another workaround is to disable integrity filtering for the repository via min-integrity: none