I feel like you’ll end up having to pick some compromises, or spend a lot of money. I think your best bet would be a desktop PC that has a bit more punch for less money than a laptop would be, and then also buy a laptop for your actual laptop needs, if you can find used options you might come in at budget. A laptop with integrated graphics can handle some games, you probably need to pick non-graphic intense games for gaming on the go.
There are some new laptops coming out from Qualcomm that have a Snapdragon X, and they are not as versatile or powerful as Intel or AMD, but they are incredibly power efficient and cheaper. (They are new so we’ll see how that pans out )
$1000 is not enough IMO for a catchall laptop with a modern GPU, AI capable, power efficient, repairable, and lightweight. A 800$ desktop and a $200 laptop/Chromebook/used thinkpad and SSD can probably cover your real use case of school laptop and also gaming/AI at home.
I was just mentioning that to my partner lol. If someone has a bad enough take on a subject, I just remove that interaction, and make sure I don’t think about their opinions anymore. I’m sure some people will say that I’m not open-minded enough and shouldn’t block people with other views but I don’t have that kind of time, and I don’t feel like making it my problem.