There is one strange thing I can see here. From the glxinfo output, I can assume you have an Nvidia card. But those MESA-INTEL logs make me think that the game itself is running on the Intel video card.
Could this be the case?
To run on an Nvidia graphics card, I use the variables __NV_PRIME_RENDER_OFFLOAD=1 and __NV_PRIME_RENDER_OFFLOAD=1 - this is how I ran glxinfo to display information specifically about the Nvidia graphics card. With these variables, all games on Steam also work for me. However, your game refuses to run on both the Intel video core and the discrete Nvidia video card =(
In both cases, the launch of the game freezes with the message "Unable to read VR path registry"
Okay, I got it. Regarding the VR log, this is just a warning present due to a packaging mistake.
Unfortunately, I do not have a solution for this concrete case. I can say that all the reported issues with Linux were related to the video driver in one way or another. I will do more research about this case.
Once again, sorry for the inconvenience