It's borderline, while it isn't going to burn your house down, I'd personally want a tier up such as an RM model to power a 3070 or 3080.
You think so? I got that PSU 10+ years ago, but I suppose nothing 'future proof' is ever altogether future proof. I'll keep that in mind and probably go for something a little less juicy then. I reckon this old power supply has one more build left in it, as long as I'm sensible.
EDIT: Sorry, I just checked the old doll and it's a TX750w. No idea where that sits in the pecking order, but it was at least upper mid range when it was new.