Mummies and BDP are not meant to be. There's a walkthrough on Remiks's channel.
upd. I reached the Lich King, and it's become more interesting. To defeat him without losses, I needed both wolves (I accumulated 71) and elementals (I created 100). And with this, I went down.
Overall, the map is quite challenging. If the balance were improved, it could be even better.
upd2: The curse is strong; now I understand why souls are needed.