Well thing is, the difference will become clearer in higher levels, as from what I have seen, heavy units are able to increase their armour by 3 with every level up, while light and regular units are only able to increase their attack by 1 or 2. This is not evident with lower level teams as level 1 units are able to increase their attack a great deal more than their defence. If I recall a level 1 unit can not increase its defence at all, while being able to increase its attack 5 or so times. So this gives the illusion that it is balanced, however, it is clear, that if every level heavy units get 3 armour, while light and regular units get 1-2 damage, eventually the heavy units armour will surpass the light and regular units attacks, making them ineffective.
And if light and regular units are just support units, what support role can they play? Heavy units deal the damage so they can't do that, heavy units also take more damage so they can't take that role either, I can't really see any other role left for light and regular units to take, and the strongest teams will simply be made only of heavy units. Though you do speak of abilities that will supposedly change all this so I will wait patiently and see what you have planned lol.
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