Admittedly, some of the games I'm about to mention take time to get good enough at to turn your brain off, but here's some of my favorites for listening to audiobooks.
Bloons TD6
Any roguelite - currently I'm loving balatro and spelunky 2
Backpack battles
Tetris Effect
Mario sports games
Mini Metro
Kingdom
In general, I find it helpful to tell yourself that it's totally okay to "lose." When you are listening to an audiobook, you should be spending most of your attention on that. You don't need to take the game seriously.
I try to buy things on GOG when I can just for the sake of diversifying my dependence on one company.
There are plenty of guides to setting up Heroic Launcher on the Deck. Once its set up, it's easy to install games.
I've found GOG games to run perfectly fine, and cloud saves work perfectly.
Lastly, I saw some other people saying GOG doesn't have the latest version of this game specifically, so definitely check that before buying.