Braising is the actual subject here and it's a technique worth having — you sear hard for colour, deglaze the pan so nothing is wasted, then leave it alone at a bare simmer. Chef Emily was firm that a rolling boil toughens the meat, which is the mistake that ruins most home braises. The wine should be something you'd drink, not cooking wine, and she explained why: it reduces down, so anything harsh in it gets concentrated rather than cooked off.
Theo