You can still get a somewhat decent gaming desktop built from new components, for just 1000 PLN / 200€ this season (of late spring festivals/International Children's Day/First Communion/end of the school year/etc. )
The latest (though not necessarily the greatest) games like Forspoken or The Calysto Protocol are out of the question.
But it's still perfectly possible to play all the popular e-sports titles like Fortnite, CS GO, League of Legends, etc.
Such a computer will also handle all PS4/Xbox One games.
And it will also be great for doing homework, writing essays with hundreds of tabs opened in a browser, and joining lessons on Microsoft Teams, and other schoolwork.
With Vega 11 graphics card, most games will look surprisingly good (and more demanding PS4/Xbox One games like Cyberpunk 2077 will still look okay).
You can check out what you can expect from Vega 11 performance here:
Here are the components from Polish electronic stores. But you should be able to get similar prices throughout Europe, or if you live in a really expensive place - on Aliexpress.
(links to Allegro are reflinks)
Case - Gembird Fornax K300 - 66 PLN (with coupon code 3LQzEz1zzDCq5RnkD3EL)
https://www.zadowolenie.pl/gembird-obudowa-komputerowa-fornax-k300-micro-atx-2x-usb-3-0-2x-usb-2-0-czarna
RAM - 2x8=16GB Patriot DDR4 Signature 2666 MHz CL19 - 144 PLN
https://www.zadowolenie.pl/patriot-ddr4-signature-8gb-2666-1-8gb-cl19
CPU - Ryzen 5-2400G (with integrated Vega 11 graphics) - 270 PLN
https://pl.aliexpress.com/w/wholesale-2400G.html?CatId=708042&SearchText=2400G&trafficChannel=main&minPrice=200&maxPrice=400&g=y&isrefine=y
Motherboard - ASRock B450M-HDV R4.0 - 288 PLN
https://www.morele.net/plyta-glowna-asrock-b450m-hdv-r4-0-6047639/
SSD - GoodRam CL100 gen.3 480GB (with coupon code APP30) - 72 PLN
https://www.amazon.pl/Goodram-SSDPR-CL100-480-G3-Dysk-Twardy-Czarny/dp/B089S1QWW1/ref=sr_1_7?qid=1683022969&refinements=p_85%3A20876009031%2Cp_36%3A6000-10500&rnid=20900476031&rps=1&s=computers&sr=1-7
Power Supply - Fortron FSP PRO 350W 80+ Bronze - 66 PLN
https://allegro.pl/oferta/zasilacz-fortron-fsp-350-50sac-350w-12912294091?utm_medium=afiliacja&utm_source=ctr&utm_campaign=bec50c91-cd1d-49ac-a79c-b1921fa03dd9#
As for cooling, Ryzen 5-2400G BOX variants should have a 'free' cooler included.
But if that's not the case, there are many cheap coolers out there (especially from China) - such as Jonsbo CR1200 for 2.77 USD, as recently reviewed by Gamers Nexus:
66+144+270+288+72+66=906 PLN
That leaves us with around 100 PLN to pay for the assembly fee for a technician. This seems reasonable judging by current prices on a few offers below
https://www.olx.pl/d/oferta/skladam-komputery-CID99-IDSerWM.html#f0fc4d62e1
https://sprzedajemy.pl/skladanie-modernizacja-komputerow-stacjonarnych-pc-rzeszow-2-85b084-nr63617313
https://www.olx.pl/d/oferta/skladam-komputery-CID99-IDS33Xz.html#f0fc4d62e1
And this particular job is pretty much as straightforward as it gets - no BIOS updates, no adapters for coolers, no additional fans, and even no dedicated graphics card (and therefore no graphics card cables to manage).
Simple and quite common modern components - basically it doesn't get easier than that.
So the assembly fee should reflect that.