Recommendations for replacing my Poco X4 GT?

Hi! I’ve been using my Poco X4 GT for four years now, and it works wonderfully. The only real issue is that when multitasking—like gaming while watching videos or sometimes just during video calls—I get an overheating warning. This has caused the screen to come loose on three occasions (twice just this year), so it’s probably time to get a new phone. I’m looking for something a bit better than this one, but—and this is the most important part—it needs to handle gaming well, since I play a lot, as well as multitasking (like watching videos and browsing social media at the same time). My budget is around €500 (or slightly more). In that price range, I’ve been looking at the Poco X8 Pro Max and the Poco F8. Could anyone recommend a Poco model that would be a general upgrade over the Poco X4 GT I currently have? Thanks!