If you dont press unlock, and break into the car, the vehicle will shut down on door open. No unlock detected = no takeover. You pressed unlock so the takeover procedure initiated; pressing the brake at that point will shut off the starter but the car will stay runnning.
By pressing 3xlock while the car is already running, you enabled "idle mode"; which is basically remote starting the car while it is already running. If you turn the car off with the push button, the starter will re-start the car.