@kaia An older Dell XPS isn't a bad recommendation.

When it comes to convertibles, from my own experience the Lenovo Yoga convertible line isn't bad even with it's own quirks in each model. My Yoga 7 15ITL5 has a nice 15" touchscreen and stylus FullHD IPS display with rated 100% sRGB coverage (although probably uncalibrated) and shitty IO (2x Thunderbolt 3 (I think) USB-C, headphone jack and 2x USB3.X ports). It is dockable with my ghetto solution of 3 hubs sequentially plugged into one port, but somehow Windows power management randomly disconnects my mouse under a file transfer) and when you unplug the charger while "docked" it refuses to charge from that port until it's fully powered off for some reason. An actual dock would probably work much better. 2 other friends use the same exact model at uni almost daily for taking notes and they didn't complain to me about anything. One other friend has the newer 16" inch version (Yoga 7 16ITL6) of this model and only complained about overheating while charging in the first month until a BIOS update fixed it. They also sell a 14" model and the newer ones (2021+ I think) have OLED panels.

Another option would be the Asus Zenbook 14" (model year 2021) which has 4K (I think) OLED touchscreen display. A friend of mine has it and likes it although I hate its numpad overlayed over the touchpad that can be quite hard to use.

As for the one I cannot recommend: HP Envy x360 (from 2021). The touchscreen is finicky and barely working, build quality isn't great and the speakers have a substantial noise floor at 30%+ volume. In short, don't buy it and probably avoid HP products as I never had good experience with them.
And probably also stay away from older ThinkPads as those have screens with horrible colors that aren't suitable for graphics work at all.

All of these have integrated Intel Iris Xe GPUs (non dedicated) which are certainly usable even for some light gaming and were priced around 1K EUR 3-4 years ago depending on the processor/RAM config/storage, so 2nd hand pricing might be around the 500 EUR price which is still above the budget.

I don't have any recommendations for normal non-convertible laptops but basically anything with a good FullHD IPS display and an Intel i5 CPU with 16GB of RAM will probably do.