That doesn’t work, I know from experience. I put both feet and all my weight and all it did was smoke the tires.
I turned the engine off because I had no time to do the neutral thing there were cars in front of me getting ready to turn and the oncoming lane also had traffic.
It was hard but I was able to steer it to the shoulder while braking but at the time we also had a 4WD that had no automatic steering or brakes.
Brakes have more power than engines... so something is not working right with the brakes if they won’t stop the wheels from turning, even with engine power on them.
I’m not saying that yours did not do as you say, but simply that something is not working right, with the brakes, if that won’t stop the wheels from turning even with engine power on them.
I would get the brakes checked out...
Your brakes should always be able to outpower your engine, if not, you likely have mechanical issues. Get them brakes checked.