HoMM3 HD is a mod (add-on) for the game Heroes of Might and Magic 3.

So, you need this to analyze your own gameplay, not the opponent's?

I had and still have another idea: to save the game after each battle (and overwrite the previous save), and load it in case of a game crash. This would prevent the possibility of replaying battles. But I don't know how much this would burden the computer and whether it would affect the game's performance.