Now, you can install and use Steam Deck UI on any PS4 Linux distro with ease. Included are the instructions to make a proper shortcut so as to launch it with a single click.
Special thanks to @Skylect for the instructions he made available. This builds on that and adds troubleshooting steps along with detailed steps to make a one-click application shortcut for the Steam Deck UI.
For those who prefer the textual article, here it is.
If you have any issues following the tutorial, leave a reply below and I will get back to you at the latest!
