Considering upgrade GPU, need advice

I consider upgrading my GPU, but apart from deciding which GPU to pick I also have concers about potential bottleneck, if it will fit my rig and if it will even be worth it?

My current system is Ryzen 7 5800X and RTX 3070 Ti, I dont remember what model of motherboard I got but it definitely got atleast PCI 4.0 slot for the GPU.

I am split between buying RTX 4070 Super, RTX 5070 or Radeon RX 9070 XT. They are all about the same price range.

So as I mentioned at the start, I have hard time deciding and also concers:

Will any of those GPUs work fine on my system considering they require PCI 5.0 slot, or I need new motherboard?

Will they have bottleneck issues, like being held back by the CPU?

Is it worth the upgrade from RTX 3070 Ti?

And assuming they will work fine and worth the upgrade - which GPU should I pick?