It isn’t set as “default” for the after success, so it should not be picking up anything from the action group level, but it is possible for the script to be doing it.
Please share a link to the action so we can check what it is doing exactly.
Should the action contain any personal information, then do take a copy, sanitise it to remove that data and share a link to that instead.
The action is explicity written to archive the draft in its script. If you do not want that behavior, you can comment out this portion of the script:
//archives when no selection was made
if ((editor.getSelectedText() == "") && (URLmatches != null)){
draft.isArchived = true;
draft.update();
editor.new();
}