I have looked thru this whole thread, again, and nowhere in it is TEMPERATURE mentioned. An
infra-red thermometer is an essential tool. Without temperature measurements, we are only guessing. But based on your last post, it's beginning to sound to me like you've got a bad ESC. Most ESCs have a thermal limiter that shuts it down if it gets too hot. But if that circuit is not working right, i.e. it THINKS the system is getting hot, it could shut down the ESC. The fact that it runs for a few minutes, then stops and after a few minutes goes again, but then stops again....something is faulty, and I'm guessing the ESC. Is the car still under warranty?