So, I do have a gaming laptop now, but you don't have to have one in my opinion. I didn't prior and it worked just fine, but I haven't had simulation lag since I upgraded in January. Sims 4 is a fair size, but it is still seven years old. Ultra settings means you just need the parts to handle that, gaming or non gaming whatever labels matters less.
I used to play on a Best Buy bought Asus laptop that still had a physical disk drive in it and less than 500 GB storage. I now have a custom Sager with Intel i7-10700K CPU 3.80 GHz and 32 GB RAM and a 4 TB SSD.
You obviously don't need specs this high, but I'd recommend Xotic PC if you want custom specs and do not want to build it yourself. I had good customer service, you pick the parts you want (and you can get a dead pixel warranty), several brands to choose from, and they do more than gaming laptops. Worst case scenario, you can get an expert opinion on what you would need to run Sims 4 on ultra.