Will this laptop run the game?

@itszozoe  That laptop should run Sims 4 on medium settings, but probably only that, and you could definitely see some lag.  It won't run Sims 3 well, at least not the most demanding packs, even on low settings.  Pets and Seasons would in all likelihood be too much for the graphics chip to handle, and probably Island Paradise and Into the Fugure as well; some of the intermediate expansions might or might not be okay.

Additionally, while a 256 GB SSD can technically hold both games and their associated content, it would be a tight fit if you have a lot of custom content, or even if you like to have a lot of backup copies of your Sims 3 saves.  I'm not saying it isn't manageable, just that you'd need to keep an eye on free storage and clean out extraneous files.

If you'd like to see other options, I'd be happy to take a look.  Just list your budget and country, as well as any other considerations that matter to you.