Budget 750 euro
for school, maybe a little gambling emails etc. YouTube
250 euro more and Apple MacBook Air M1 chip, then you're happy for the next 5-10 years.
MacBook Air
But it definitely has to be the M1
Huawei Matebook 13. You can't gamble with it but you can't use a laptop. Or you can get a used gaming laptop that is still under warranty. Earlier you had a gaming laptop but would recommend you to get a pc to play and a laptop to work with, if the budget is enough
https://geizhals.de/...at&hloc=de
Although 50 euro over that, it can also be used for gaming
Slightly over budget and only conditionally suitable for playing, but quite practical for school because you can write on the screen with the pen: https://www.campuspoint.de/20vls01500-lenovocampus-thinkpad-l13-yoga-g2.html