Thanks for your suggestions!
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Happy integrating :)
To give an example of something it would be great if supported (I use it in another workflow product): react to force-push:es to your repository by running a GitHub action.
In more detail: trigger on a github push webhook => filter on incoming webhook parameters => trigger a github "dispatch" POST request with basic auth to a "dispatch" action on the same repository that triggered the request, i.e., url: api.github.com/repos/[repository.full_name]/dispatches
(I'd be ok if the POST request has to use a generic POST action)