Isaac:
"The rule was no fire unless necessary. Having a fire to cauterize the wounds of someone very likely to bleed out if we don't do something sounds like a necessary fire to me. Besides we are going to have the fire contained in a fireplace, we are just blowing stuff up like when the rule was made. But in any case we are burning wood and useless paper," I go around and gather paper before heading to the living room and starting to set up the fire.
I overhear that someone had found something and plans on moving Alex somewhere more sterile and cleaning his wounds before wrapping them, it's smart, though we can't completely wrap his face so at least trying to cauterize some wounds wouldn't be a waste.