How well does cold cabbage leaves work for engorgement ?

Before I even start, yes I know it can dry up your milk. That is my plan. I am weaning my almost 16 month old and haven’t nursed him in about 3 days. The last few months he was only nursing off one side so the other side barely has milk in it anyway. But the side that he was nursing off of every day is huge and in pain. I don’t want to pump because I want the milk gone. I don’t want to signal my body to keep producing. But I am hurting now! It kept me up multiple times last night by how much the engorgement is hurting. And I dont want to get mastitis 😭

I’ve always heard about putting cold cabbage leaves in your bra to help with the pain and dry up the milk. Does it actually work? What other things can help?

TIA 🙏