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

Also, in my opinion, it would be good if each player could also see their opponent's timer (for example, if they see that the opponent is running out of time, they might take a risky approach, hoping that the opponent will get flustered and make a mistake, etc.).

Great. Very clever! (as said by a Georgian in a collective farm). In that game, I dropped out because of the pressure. After the game, it turned out that I had 50 minutes left for 124 moves (timer 40+6+0), while my opponent had 20, but I didn't see my timer after move 114 – it was just a continuous race, and you can't even take a breath in battle, you just fight randomly. Although, with the timer in battle, I don't engage in any particularly complex battles, which is also a big drawback – goodbye, epic battles. A third timer for battle is bad; in principle, everything should be as simple as possible, and if it's easier from a programming point of view to add another timer, then from a logical and ergonomic point of view, it should be optional to either disable the timer in battles or slow it down by 0-2-4 times.