Try the dbg version of dgvoodoo and see the log if there is any error message in it. Probably something with a display mode / refresh rate that's unsupported with that monitor.
Wasn't exactly sure how to use debugview so I just did the whole log after clearing the screen right before starting the game and stopping the capture right after the game didn't load.
Driv3r.txt
Oh my graphics card is a PNY GeForce RTX™ 4080 16GB XLR8 Gaming VERTO EPIC-X RGB™
TBH, it's weird. The game does not crash but quits. I can only see one dgVoodoo error in the log, but I don't know what it is have to do with the monitor. Maybe it's completely normal, but a log from a monitor on which the game is running is needed to compare the two.
It's not aligned vertically with the other but it's offseted by 3 pixels. Maybe that? Or with Win10 your other monitor is the primary so this one does not have negative coordinates which the game might not like for some reason?
I don't know, but you can give it a go by experimentally change the order of the monitors, to have this one being the primary.
It should not be. But, you can compare the 2 logs coming from the working and nonworking monitors. If they are the same (dgV error appears even with the working case) then I don't have idea.