Loss of power with hard acceleration

What is your question?

At 30 or more mph, the car will spudder or hesitate when accelerated and makes a pop sound. There is loss of power for a few seconds. The car bucks or hesitates with acceleration. At 50 mph with acceleration the car skips and makes a slight bang, then will pick up power. At 70 mph with hard acceleration the loss of power light comes on. Doesn't seem to have turbo Sometimes there is a hmm sound coming from engine when shut off.

What makes this problem better or worse?

Acceleration

How long has your 2013 Mini Cooper had this problem?

5 months