GTA IV was terrible optimized. I tried it on my modern desktop with 3800X and 3070 and was barely getting 60fps without any mods (with mods it was getting way better while having far better visuals). I was able to get GTA IV EFLC to run at constant 50fps with graphics mods on my Steam deck.
Use a bit of super glue, just a tiny amount. The buttons are cheap and easily replaced when you want to get rid of this vinyl.