What do you mean they’re failing to install? That sounds like a wine issue.
Sometimes games just work better on previous wine versions so it might be worth trying a couple of those.
I haven’t played the game but it seems to be DX11 so DXVK probably needs to be installed to the prefix
Towards the end of the FG installer, there is usually an option to download the dependencies so make sure you have those installed with winetricks to the correct prefix. C++ Redist download option here refers to vcrun in winetricks and its probably vcrun2022 since the game is new.
Is it defaulting to using your integrated graphics instead of the discreet gpu?
You could also add it as a non steam game in steam since proton will be set up properly to see if it runs better.
Edit:
470
Do you need to update your drivers? 470 came out in April 2021. DXVK only supports 510 and later so d3dcompiler instead of dxvk should be used but a driver update would be better.
I wrote step by step instructions for installing windows repacks on linux using Lutris. https://sopuli.xyz/comment/9858101
I install FG Dodi and Gnarly repacks and ElAmigos updates this way. I have only had weird bugs with ~5 that would only unpack in a Windows VM and 2 that needed native Windows (BG3 and Until Dawn) but tbh I have a feeling its an AMD issue not a wine issue