Wow, this is awful. Some people reported that these ads are also very petty and not necessarily related to the game, like apparently Elden Ring shows an ad for a licensed mousepad when you hover over the game now…
Edit: Playstation Product Manager says this is actually a new bug. I really doubt it but they do seem to be “fixing it”.
Bazzite use the home theatre version for a console like experience. Or go with the desktop versions Gnome and KDE both work really well however the emudeck devs have programmed it to work with KDE if you wanted to use that go with KDE.
I just switched to Bazzite on my Legion Go and LOVE the freedom from Microsoft.