Some advice from a nurse when I had my last kid. "No child ever died from crying, if you need to walk away to take a breather"
Between my last 2 kids there were times where I did get angry trying to soothe them and when your sleep deprived it can be very dangerous.
If your wife is pumping breast milk and you need to warm it up every time you're feeding. I recommend a mini fridge and a bottle warmer combo in the room you're sleeping.
It can freeze the bags and get the next one ready.