If you can afford $500, then buy the following Acer laptop (which is currently on sale, normally $630) with a quad core i5-8250u and dedicated nvidia mx150 GPU which should have no problems running Minecraft. It had a 1080p screen and 256GB SSD as well. It states the laptop has 12GB of RAM, though I suspect it is a typo and it is probably 8GB of RAM. Regardless, it is the best performance you can get for $500 because laptops that are normally priced below $600 (meaning not on sale) has integrated graphics. The mx150 represent a huge performance difference compared to the Intel UHD 620 graphics core even though the mx150 is not considered a "gaming GPU".
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/www.amazon.com/Acer-Aspire-Computer-i5-8250U-3-40GHz/dp/B07GWP41M2/ref=sr_1_1_sspa?s=pc&ie=UTF8&qid=1537901574&sr=1-1-spons&keywords=mx150%20laptop&psc=1&tag=tomshardware_forum_vgl-20