Can you build scenarios that I can't fly out of...easy. And this is probably one of them.
At heavy weight, you aren't going to fly if you lose two on the runway. The best option will be to abort, get rid of whatever speed you can, and accept that it's going to be a heap of rubbish at the end of the runway. Even airborne, letting it land straight ahead might be the best answer...irrespective of what is there. Even if things are going very badly, it's still best to arrive at the ground under control.
On the other hand, if I've got an engine failure, and a fire on another, I haven't lost two engines until I shut down the one that is on fire. I can delay that as long as required to ensure it will fly. Deal with the fire issues later. If you look at the Concorde crash, they were doomed when the engineer shut down an engine with a fire warning, without the captain's command. He would have wanted the power, and wouldn't have cared if it melted giving it.