Automatically sync latest Action release to the Marketplace

I am creating a JavaScript GitHub Action. I have set up a workflow that creates a new release and a set of tags whenever there is a merge into the main branch. It works correctly and creates releases that are shown across the GitHub UI (sidebar, releases page and so on).

However, these releases are not synced to the Marketplace, it still shows an old version that I published manually (1.0.0 is tagged with “Marketplace” badge, but I’ve already released 1.4.0, which is the latest release):

The repo I’m talking about is: GitHub - madhead/semver-utils: One-stop shop for working with semantic versions in your GitHub Actions workflows

I see no way to publish my Action to the Marketplace but manually. Is there a way to automatically sync new releases to the Marketplace?