@violichou From your description, I'm not sure you want a gaming laptop, although your budget would accommodate one. The battery life would be okay but not great—it takes extra power to support the stronger components—and entry-level gaming laptops tend to be at least 2kg if not more. But in case you're interested, this would be a good option, capable of running all current Sims 4 packs on ultra settings:
https://www.dell.com/fr-fr/shop/ordinateurs-portables-dell/nouveau-dell-g3-15/spd/g-series-15-3500-laptop/cng3027
If you're not interested in a gaming laptop, you probably won't be able to play on ultra settings, although high settings may be completely fine. This one should have good battery life, not exceptional but certainly more than enough for school. It also has the fastest integrated graphics chip currently available in laptops. To be clear, it's not as fast as a dedicated card like the 1650 in the Dell above above, but it should still handle high settings without any trouble. The 16 GB RAM is also nice to have for multitasking purposes if not strictly necessary.
https://www.dell.com/fr-fr/shop/ordinateurs-portables-dell/nouveau-inspiron-15/spd/inspiron-15-5515-laptop/cn51206
If an exceptionally long battery life is important to you, this one is about as good as you can get in a portable laptop. Its processor is last year's model of the one above, and the graphics chip is somewhat slower, but you should still be able to play on medium-high or high settings, depending on your playstyle.
https://www.fnac.com/PC-Portable-Lenovo-IdeaPad-5-15ARE05-15-6-AMD-Ryzen-7-8-Go-RAM-512-Go-SSD-Gris-graphite/a15669635/w-4
If you'd prefer something lighter and more portable than the ones above, this is an excellent option, with good but not amazing battery life and a graphics chip that's almost as fast as the one in the Dell. It also has 16 GB RAM.
https://www.boulanger.com/ref/1151851
These are the best overall options I saw, but if none of them are quite what you want, there are plenty of other choices. Just let me know what details matter to you, for example screen size, weight, whether the battery is excellent or just good, etc. And if you have more questions, please feel free to ask.