Generally, all Nvidia cards, which have RTX in their name fully support raytracing. For AMD all cards of the new 6000 series support raytracing.
Since your gpu is a year or two old, you can ignore AMD here, as the cards, which support it were released at the end of 2020. However, it's quite possible you have a RTX card from Nvidias 2000 series.
Do note, that ...
An update, a year later!
In the end, I couldn't find anyone to repair my console, so finally bit the bullet and ordered the screen on eBay to repair on my own. It arrived fairly quickly and then... it just sat there until today. Yeah I was lazy. But not anymore!
I am happy to announce, the repair was a success!
So now I can share some tips with other people ...