OptiMAL
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2) Regarding the 3rd type of competition. Perhaps it would be better without castles. A ready-made army with heroes is given. A draw determines who attacks (by the way, is there an advantage to this?), then the first turn of EACH participant is spent on positioning and using potions. The attack and, consequently, the battle begin on the SECOND turn.
I meant to make the third stage as Brackman suggested: something like a mini RPG.
:D