So, it seems I can launch the game by using "Run Exe on Prefix" located at Heroic -> Cyberpunk 2077 Settings -> Wine -> bin/x86_64/Cyberpunk2077.exe
Since that worked, I thought I could then set the "Alternative EXE to run" and point it to the game executable, but that didn't work.
So, it does work if I select the executable through that setting. Just unsure why it doesn't work the regular way as it has for other games.
Is there a way to have it perform that execution so that I don't have to go to settings, pick that option, select Exe file, and launch each time? If you have the command format for that, maybe I can mess around with the arguments and get it working?