@jmtd Linux tends to just work on this sort of no-name hardware as they're typically just an assemblage of reference designs and the manufacturers lack Big Tech's urge to add "shaft the users" as an anti-feature. I took some similar generic mini-PCs based on laptop chipsets, and Debian JustWorked™ on them, even sound and video acceleration.

A quick trawl of AliExpress listings for laptops which look identical to your picture suggests that this particular design uses (the vendor's choice of) Gemini Lake laptop CPU/SOCs from 2017, which are now EOLed. ~€500 seems far too much for what would have felt sluggish even eight years ago. And the web has only gotten heavier since then, so you'll probably get frustrated browsing the web on it.

So I recommend not buying one, but not because of Linux compatibility worries.

@jmtd My fastest mini-PC is a Jasper Lake N5095 and cost ~€100. It has about a third of the performance of my 2015-vintage daily-driver Mac (i7 4870HQ). Alder Lake is supposed to be a pretty decent performer (I've not personally tested it), but perhaps not at the low end. Still, you'll probably get your $333 of fun out of it.