Tony White Integrated Intel graphics will run the game only at all low with a reduced render scale at 30 fps. It's not a good experience.
You have other options though.
What I probably would recommend instead is browsing Craigslist, Facebook Marketplace, Offerup, and LetGo in your area to see what slightly older gaming towers people are selling for around that price or less. Some people on reddit.com/r/hardwareswap also have good tower deals.
After all of that, if you still need a laptop for whatever reason, I would get something cheap but decent, like a Chromebook for example.
This would probably be the best setup for you.