I would personally just get a nice air cooler for ~50€ and use the rest of the budget for an alternative improvement. I might also consider a slightly cheaper case. I might also consider saving a bit more money on the power supply by going with gold over platinum.
An extra €100 to your CPU would do a world of good.
Also I might consider using a more reputable NVMe drive. Maybe from that cooler/power supply money. A more reputable PCIE 4.0 drive with meaningful dcache would serve you well.
Also you may consider higher clocked RAM. If you are using an iGPU faster ram makes a world of difference.
I have a bias to “function over form” pc building so your values may differ here. My two cents.