I’ve had my HP Pavillion Notebook Touch 15.6 with an AMD A8 processor and it’s been able to run TS4 since 2014. It even survived the cats and dogs update (barely), but seasons fried it. TS4 is basically all I use that laptop for, which means if the sims doesn’t run, I need a new one. In 2014 this laptop ran for $320, my budget had since gone up to $600. This is only a temporary fix until I build my desktop in January. So I just want a $500 - $600 laptop that can run TS4 with all my expansions (I have over half of the total 22). I don’t do CC and mods but occasionally like to download them for a little while before I remove them, so it’s not necessary if the laptop were to be able to handle that but it would be nice addition of possible. The laptop would legit only be used for TS4 so I’m not trying to be super fancy.
The following Acer laptop is on sale for $570 should be fine for your needs; the laptop typically sells for $600. It is the least expensive laptop with the nVidia mx150 dedicated GPU and it also have a quad core i5-8250u CPU.