What AiB are you getting? A board partner like Gigabyte or Asus have factory overclocked cards that are more power hungry than a reference 7800xt. And AMD already states 700w as a minimum recommendation. Nvidia also states 700w for the 4070ti. Same thing happens, board partner cards will draw more power.
I’d stick with 750w at minimum. Give yourself more overhead since psu’s are more efficient that way.
Either way, the current cards are power hungry. There’s no way around it without going for a lower tier card, but at that point I don’t think the gains are worth it. Maybe a regular 3070 if you can find one cheap enough.