It’s not a third kind of providence, you are just not recognizing that God does not have to break natural laws to intervene on behalf of his people, but he can wonderfully orchestrate the timing and placing of events and circumstances that intersect their lives. Where any natural laws broken in any of the instances recounted, or do you deny that they were providential? I said no such thing as “declaring its [sic] not intervention”. I agree that you’re just not following the logic, honestly or otherwise.