Volodymyr
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P.S. The point of the post wasn't to nitpick, as you do, but simply to point out that out of the three possible games, all three will be played according to rules that are familiar to you.
For now, I can't imagine a game lasting only 2 minutes, and I don't even know what you can accomplish in that time.
Yes, a long time ago, when I played hot-seat with friends, we thought that whoever moved faster was the master :)
Undoubtedly, moving and thinking quickly is a great skill. But you need to distinguish between "moving quickly and maximizing the game's possibilities" and "if I move quickly, I'm a master" ;)
By setting the turn time to 2 minutes, you've cut out a part of the game because everything I could do in 1 game day simply isn't possible in 2 minutes, physically. So, your rules are far from familiar and convenient for me.
And regarding TC3 – it's just an arena (battle), and there can't be anything unfamiliar for anyone who has played Heroes of Might and Magic even a little bit, especially since I've posted the map.
And again, I repeat, what kind of rules would you like to see?