The installation seems to work but starting the game only shows me a blank screen.
After alt-tab, I can view an error report telling me it's a exception: page fault on read access to 0x00000000 in 32-bit code (0x4d37a618).
This is using:
Crossover Version 16.2 (16.2.0.30219)
setup_homm_3_complete4.0(10665).exe downloaded from GoG