Had the same issue. Downloaded it from GOG but the game was crashing a little after start (I saw only black screen). I have Win11 with Intel 12th gen. This worked for me:
- Download HD mod: moddb.com/games/tzar-the-burden-of-the-crown/downloads/tzar-burden-of-the-crown-hd-patch-1280x720-1920x1200-ve r-30
- Copy files to the Tzar folder
- Run Tzar Settings
- Select your settings
- At first, it didn't help me, until I selected 'Use ddraw mode' - then the game finally run
Hope it will help