Will a Ryzen 5 9600x bottleneck a 9070XT? (MHWilds)

I'm a big fan of Monster Hunter, Wilds forces me to upgrade my old 2012 prebuild that I modded on a college student budget in 2018 to run Worlds.

Now I got a bigger budget and thimus I'm building an entirely new setup for scratch. The goal is to run the game above 100fps in 1440p at the very least. (I'm considering a 4k monitor too, my 21.5inch 1080p one needs to be replaced after his long service, but I can borrow a 1440p from my brother, so I can decide on the resolution later)

I don't work on my PC, it's just for gaming web browsing content consumption

The prices for the x3d cards seems to me to be through the roof rihht now. I'm in Poland, and 9800x3d is about 2400 pln ~ 600usd, 7800x3d about 2200 store bought 1850 from an eBay equivalent ( 550ish 460ish USD) both 7600x3d and 9700x are about 1500pln (380ish USD) The 9600x is priced at about 1k pln or 250-60ish USD.

Haven't considered AM4 socket CPUs because I want to be able to upgrade to a newer CPU down the line if necessary.

Now the 9600x is a weaker CPU than the others I listed, but the price difference is substantive - I already splurged on the GPU, so I'd like to cut back where possible without compromising the benchmark goal. MHWilds leans on the side of more CPU taxing games, but it's no strategy/sim game either.

Will the 9600x bottleneck the 9070 XT?