I had a similiar problem on my AMD CPU / Nvidia GPU Notebook. No game started. There's for sure a better solution but what works for me is renaming /usr/share/vulkan/icd.d/radeon_icd.x86_64.json to /usr/share/vulkan/icd.d/radeon_icd.x86_64.json.disabled
In your case it would be /usr/share/vulkan/icd.d/intel_icd.x86_64.json I guess.
But it's risky!
I think a better solution is using environment variables, see switching: https://wiki.archlinux.org/title/Vulkan
Probably starting steam or the game with VK_DRIVER_FILES=/usr/share/vulkan/icd.d/10_nvidia.json would do the trick, haven't tested, but you might try that first.