@Briee2122 Is this $600 U.S.? If so, you can definitely do better than the laptop you found. The question becomes whether you want a faster graphics card, capable of ultra graphics settings instead of high; or more storage, 512 GB instead of 256; or both, with a slightly higher price tag.
This laptop ($600) has an Nvidia 1050, which is capable of high or a mix of high and ultra settings, although all ultra settings might be difficult if you have the most demanding packs installed. If you use high poly (high-resolution) custom content, you might have to dial back the settings a bit more. Still, you should be able to run all the Sims 3 content you want. It also has a 512 GB hard drive, in case you need a lot of storage.
https://www.bestbuy.com/site/6409467.p?skuId=6409467
This one has an Nvidia 1650, which is around 40% faster for gaming, although the gap seems to be smaller for Sims 3. (It still does better than the 1050 though.) It does only have 256 GB storage, but that should be more than enough for all your Sims 3 content. You could actually fit all of Sims 4 on that drive too, if you're looking to play especially if your other computer is going to hold the rest of your non-gaming data. Where it might get dicey is if you had a large amount of cc for both games (think > 50 GB total) and liked to keep a lot of backup saves.
https://www.walmart.com/ip/806865249
There aren't a lot of other options in your price range, unless you're willing to go open-box. As a good example, this one has an AMD RX 5600M graphics card that's significantly faster than an Nvidia 1650, a stronger processor than both laptops above, and has an "open-box: excellent" opeion available from Best Buy for $612. This is also a very highly rated gaming laptop overall, one of the best in the "cheap" (under about $1,200) category. It does only have 256 GB storage though.
https://www.bestbuy.com/site/6409419.p?skuId=6409419
Beyond that, the next good options start close to $700, which it sounds like you'd rather not spend. And the options with slower dedicated graphics cards are close to $600 as well, so you'd be sacrificing some performance without saving much money.
If you have more questions, please feel free to ask.