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I think I did it: https://yadi.sk/d/ilae-qQnwBlQfw. I tested it on EWA 2.7.1 without any additional mods, and it works - the Karalam-demon is now the correct creature. I also added the link to the first post.
That was quick! Thanks. I'll finish the map tomorrow. Today, I just replayed a battle (the Beacon still doesn't resurrect units), but I don't care... the losses weren't critical (except for 14 titans). The dog is now correct.)) Screenshot: https://d.radikal.ru/d33/1901/f3/85a27acb23cd.jpg
As I understand it, there are 3 battles ahead. The garrison, Greta, and the last one with Baal. If necessary, I'll switch to leadership instead of summoning to avoid losses in the first battle, where I lost the titans (in EWA, upgraded genies create phantoms themselves, and the gremlins' cross attack hits all 4 slots of Baal at once. A genie creates phantoms of the gremlins - 2 initial shots, and half the army is gone. Luckily, a fort appears on the hill towards the end of the game, otherwise it would have been a massacre. So, no problem. Maybe it's just my personal experience.
P.S. I only regret that I started on a lower difficulty and didn't go for the veteran difficulty (it would have been more fun). I probably won't play this map again for a while - there's something else to strive for.