Which TV for NextGen console?

I would like to get a new television set to take full advantage of the next generation of consoles (more precisely the xbox series x). My budget is less than 500 euro, unfortunately, I can't find one in this price range yet. I also like the LG Nano 86 very much, but it costs around 600 euro and I can't find it used anywhere. Maybe someone can recommend a good tv to me?

I thank you for every answer

What functions should it have? Or what is important to you?

First of all, thanks for the answer:

I think 4k HDR are mandatory. 120 FPS or heart would be very cool but not so important because they work for maybe 1 to 2 games anyway. There's also a lot of talk about HDMI 2.1, but I don't know how important this is or whether it is important at all

So 120 fps is (almost) impossible to find with such a budget anyway.

HDMI 2.1 only says that you can use 120 fps and 4k at the same time.

And almost every TV in this price range has 4k HDR.

I got the Samsung TU7079 55 inch about a week ago. You can often find it on sale for around 470 euro.

Samsung televisions are the right place to go! But according to your requirements (120 hz, HDMi 2.1) that won't work, with your asking price, televisions that have it all currently cost double if not triple what you want to spend!