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18 units – that’s 141. Besides, Mages and Archmages are quite powerful; they have a huge attack and no penalty in melee combat... Maybe it would have been better to take 3 Halflings, Centaurs, or Gargoyles with me? Then, speed up the Vampires, go forward, get the first turn in the second round, and speed up the Skeletons... It should work...
If there are no starting bonuses (like genies from a lamp, etc.), it’s very difficult to take Draco-grad on 117, IMHO. I took it on 127; there are different options, and it can be done with different factions (I took it as a Barbarian without any problems).