If you are in a sleep emergency and your newborn isn't directly breastfeeding, ask another loving adult to take over for a couple of nights, at least
If you are the primary carer of a bottle-feeding baby and you find yourself in a sleep emergency, ask another loving adult to take over in the nights if you possibly can. Then you would need to sleep in a quiet place, perhaps with earplugs in so that you cannot hear the baby.
There is information about paced bottle feeding here.
If you are using expressed milk, consider waking your newborn up and offering your breast when you would otherwise be getting up in the night to pump because your breasts are too full. It's easier to offer the breast than to pump in the night - unless you have underlying breastfeeding problems which have not yet been resolved.
Regardless of who does the bottle-feeds going forward at night, it’s still vitally important to deal with the underlying problems which resulted in your newborn waking excessively at night in the first place. This means working through The Possums Baby Sleep Program over the next couple of weeks.
But if you find yourself in a sleep emergency and you aren't direct breastfeeding or are using formula, you might ask another loving adult to take over night feeds for at least a few nights or hopefully more, while you experiment with the changes suggested in this program.