Heroes 6 - Discussion

Gurus, enlighten me! I can’t complete the 3rd campaign, 2nd mission on a difficult level. I’ve already received a silver rank for battles, but I’m still stuck. The problem is this: in every battle with George and the barons, I suffer huge losses, and at the same time, building up an army is not profitable, as the enemy’s growth rate is higher if I don’t capture their settlements. I developed Anton to the max, and he has the dynasty weapon – the sword of Ilat. At the very end, after capturing all the dwellings, I have 50 archers left, and that’s it, plus about 5 air elementals. It’s impossible to build up an army and defeat them. Where’s the mistake?