The fight is winnable, though just requires a lot of strong cards and a bit of luck on the side. You also have the option to swap decks between fights (if I recall correctly).
I had to try out a lot of different decks, though forgot which ones I won with. One I did like though was Funneled, Doesn’t It Feel Good and Sympathy Weight with the rest of the cards being things you can easily recycle through, can give more details if wanted but I think it’s fun to try out different things <3.