Technical issues with Heroes III.

This issue has been raised before, but it remains unanswered – crashes during battles. When an opponent attacks, the battle starts. When I attack them, nothing happens. I see the battle screen, but they don’t, and it says that it’s my turn. The versions are absolutely identical: HoMM 3 SoD 3.2, we’re playing through Hamachi. Could it be Hamachi? Yesterday, we tried using GameSpy, but the game wouldn’t launch and gave an error about NAT. What a hassle with such an old classic game... And there’s almost no information about it online. Just guesses and advice; I hope for your help. Thank you!