" broiler turns off . . . "
I think most of them do - except perhaps gas ‘under the oven’ types?
so I fixed that issue - made a ‘prop open the oven door’ gadget - attaches magnetically - keeps oven door switch depressed, but oven slightly open ‘spilling’ the heat so the broiler element stays on constantly. stand and watch - not suited for inattention…
works great for cheese browning