Hello Yuri_Gagarin, welcome to the Microsoft community, I'll be happy to help you today;
I understand that you are having black screen issues on remote desktop with Windows 11;
What exactly is the model and manufacturer of both PC's video cards?
Before answering the question I suggest you try the solutions provided in the linkk below:
https://www.minitool.com/news/remote-desktop-bl...
Disclaimer: There are links to non-Microsoft websites. The pages appear to provide accurate and secure information. Watch out for ads on websites that may advertise products that are often classified as PUPs (Potentially Unwanted Products). Thoroughly research any product advertised on websites before deciding to download and install it.
Hope this helps, see you soon!