Been using one of these as a 2nd system to play on. https://www.amazon.com/TRIGKEY-Mini-Computer-PC-Graphics/dp/B0BCVLFQQ4
It's a NUC clone using AMD Ryzen instead of Intel. Cost varies if they're on sale or not, but generally a decent one can be had for $300-400 to game on.
Pros: NUCs and NUC clones are super portable. If you have room to take a Nintendo Switch around on trips, this is just as able to travel with you to plug into a Hotel room TV, just BYO Bluetooth keyboard and Mouse. Unlike most laptops, these can be upgraded in RAM, Wi-Fi, and M.2 Storage. This one also has a slot for a SATA 2.5" drive for additional data storage past the M.2 drive it comes with. And for the price, a similarly equipped laptop would be on the low end for graphics/processor. ($400 for a laptop is looking at a Ryzen 3 and likely 4-8GB RAM.) The gaming capability is a touch oversold in the marketing material, most AAA games, FPS and eSports titles will need the resolution turned down to FHD or 720. For MMO titles, however, it runs great.
Cons: It's... not a laptop. Even if it is basically laptop parts in a tiny box. So if you don't have a screen and AC Jack, you're out of luck. The prior post is a better choice for graphics upgrades, which isn't a possibility here (System on a Chip - Ryzen CPU and Radeon graphics soldered to the board.) And some Intel fans will deride the AMD versions of the same thing as inferior build quality or questionable brands. Both Intel and all of the AMD ones are made in China anyway, so the distinction of quality is a bit silly. And only enthusiasts go for these, so if the warranty is important, you won't look at one of these to begin with. If you fix your own stuff, cause "PC Builders", you have a good chance of being a self-support type.
Trigkey is the same label as Beelink, they both have the same manufacturer. Minisforum also sells these (their Kickstarter for AMD versions of the NUC is what touched this off to begin with.)
Finally: some shopping advice -- AMD laptops and NUC clones are on older Zen architectures at the moment waiting for a refresh. Zen+ and Zen 2 NUC Clones can be had for cheap, and still support Windows 11. Zen 3 models, the price will be a bit higher (because they'll last longer and possible have Win 12 in their future). If you look, you can find a Ryzen 5 for $250-300 if you don't mind either a Windows 10 one, or feel froggy enough to put Linux on it instead. Watch the specs carefully, the low end (Sub $200) may be in unplayable territory (Intel GMA or low end Iris graphics, or AMD E-Series processors pre-Vega.)