I just tried installing Parole on my own KDE Plasma+Wayland system and it just works, aside from opening an external playback window, which feels a bit weird, but I'm assuming it's normal. The only display drivers available are X, but the "Automatic" pick works.
If it doesn't work for you, make sure xwayland is installed.
Doom was officially ported to Linux in 1994, and a modified version of Linux Doom was made source-available in 1997, then open-source (GPLv2) in 1999. It was one of the first high-quality open-source games. Those versions do not work on current Linux distros, but they have enabled modern source ports such as PrBoom+ and Chocolate Doom to be developed, and those are available in nearly every distro's repository.