The original game was built for mouse/keyboard. While you can use a controller, it often requires external mapping software like Steam Input or DS4Windows to feel natural.
If you find it impossible, remember the GOG version includes the patch that added a difficulty selector for this specific mission. Set it to "Very Easy" if you just want to progress the story. Mafia.GOG.rar
If the game isn't in your preferred language, use the Language_setup.exe found in the game's installation directory. The original game was built for mouse/keyboard
The mission "Fairplay" (the car race) is notoriously difficult. Mafia.GOG.rar