@SimplicityTS The first and most important detail in shopping for a computer for even moderate gaming is whether the computer includes a dedicated graphics card. Yours does not; its graphics processing is handled by the graphics chip integrated into the processor. This chip has to borrow from main memory (your installed RAM) to do its work, whereas a dedicated card has its own memory (VRAM) that it uses first. Dedicated cards can also borrow from main memory when they use up all of their own, but that's not likely to happen while you're playing Sims 4, as the game doesn't use that much. (Integrated chips are also slower for a variety of other reasons.)
When you look at the product page for a given computer, it will list its graphics hardware along with its other specs. Anything that says "integrated graphics" is just that: no dedicated card, just the chip integrated into the processor. If you see an Intel card listed, that's an integrated chip. For AMD cards, the exact name matters, because AMD makes processors with integrated chips but also dedicated cards. Nvidia only makes dedicated cards.
Usually, the product page will list VRAM among a laptop's other specs. If you're not sure though, you can link the pages of a few laptops you're considering, and I can tell you how they might run Sims 4. However, while video memory is correlated with the speed of a card (the better the card is, the more it has), that's not really the most important stat. The details that matter are things like bus width, base and boost clock speeds, cores, etc.
For a shortcut, an Nvidia 1650 will run all current packs together on ultra settings; laptops with a 1650 start around $700 U.S. with a good sale. The next card up in the current line is a 1660 ti, which is a bit of overkill for Sims 4 but will give you more than enough room to futureproof. I've seen the price drop as low as $900 for a laptop with a 1660 ti.
You can sometimes save money by going with the previous generation of graphics card—a 1050 ti is a bit slower than a 1650, and a 1060 is a bit slower than a 1660 ti. But there's a significant dropoff between a 1050 (slightly slower than a 1050 ti) and the next cards down. At that point, you might get a low-end dedicated card, or a good integrated card, but ultra settings will probably not be possible unless you only have a couple of packs.
If you'd like help picking something out, list your budget and country, as well as any other details that matter to you.