Does wise double dip at ATMs?

Wise effectively charge me twice for amounts over 350 NZD equivalent at the foreign ATM if I have already converted that to local currency (once for the original conversion to theocal account on wise and then the percentage charged for the amount over 350 NZD equivalent).

Would it be cheaper if I didn't do the inititial conversion on wise and instead withdrew and convertedat the ATM from my NZD account $$$?