I need help choosing a GPU

[Malerax]

Hey guys,

I am building a (relatively) high-end gaming computer, and I have every part but the GPU - yay! I need some help choosing one though! My original plan was to buy an RTX 2080 super (For roughly $1,500 NZD, yes prices for parts in New Zealand are crazy!), but with the new 3000 series that would just be silly. The dilemma I am in is do I spend less money (roughly $1,000 NZD) on the RTX 3070 (Less money, still a major upgrade from the original planned 2080 super), or spend equal money to what I had planned, and get the RTX 3080 ($1,600 NZD) My next question is, will I be bottlenecked by my CPU if I do end up going for the RTX 3080.

Here is my current part list:
CPU: Ryzen 7, 3700x
Mobo: MSI MAG x570 Tomahawk
RAM: G.Skill, Z-Neo 32gb, 3600 MHz
Case: Lian Li, Lancool II (Mesh)

 

Cheers for the help guys!