In my most recent game, also at regent, I was able to wage a successful war against Persia (Immortals 4/2/1 same as Med. Inf.) with only Horsemen and Archers - if you are faced with this situation, you need to use terrain tactics so that you get to attack and don't have to defend against the Med.Inf. because, remember, it's only a 2 defense, equal to your horseman attack, and without the retreat option.
So, while not an "optimal" situation, it's definitely a winnable challenge and not a gamestopper.
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"Just once, do me a favor, don't play Gray, don't even play Dark... I want to see Center-of-a-Black-Hole Side!!! " - Theseus nee rpodos
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