Supric
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I don't quite understand. Lilims have very low initiative, while the Barbarian's ability will increase the initiative of his troops, allowing them to make the first move.
And besides, if the Barbarian is a mage, his troops will move even before Inferno, and if he's a warrior, the first strike and his ability will allow him to significantly thin out the ranks of the Inferno.
But this is just theory. I don't play duels...