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Finally found the time to play through the second mission, so here's some feedback (I'm a veteran player). I was a bit hasty in saying it's impossible to complete with the reduced spell selection – it is possible, but only if you strictly adhere to the conditions and have some luck. First, you need to get some decent artifacts for magic skills on the bears at the beginning, preferably a tunic. The bears break through in the very first turn, without paying attention to losses (I had 1 imp left). After this battle, with a bit of luck, you'll have 6-7 magic skills, and almost all the other neutral creatures will be defeated without losses. You can also find the Trident of Titans (it was in one of the treasure chests).
Next, focus on development. Summoning to get the Wall of Swords, defense with bonus to defense and protection – a must-have to kill the Necromancer and Phoenixes guarding the Robe of Sar-Issa. Plus, perks that give free magic skills, like Secret Advantage or Secret Keeper. Through the latter, you can try to go for Empathy, which looks very powerful in theory, but I didn't get lucky. Machines are also good for the first part of the game.
In Shi'o itself, the battles are actually even more difficult than before, for example, two and a half hundred Manticores on a portal. In general, after the beginning and middle of the game, where you really have to replay each battle, the last battles for Sigrif are quite easy. On the surface, everything is simple; the lack of resources is compensated by 4 markets and a lot of gold, so you can easily develop 2 castles (the starting one and the lower right one) before the first enemies arrive, after which the attackers have almost no chance. In general, like the first mission, this one has an extremely hardcore and even random start and a slightly boring ending (maybe because I've already played it in single-player). And now it's time for the missions that I've never played, and knowledge of the map won't help me complete them...
P.S. There's a small feature in this mission. If you learn the Summon Reinforcements spell in the Necromancer's castle, you can summon Sigrif's troops from the castles on the surface, which makes it easy to clear all the neutral creatures in Shi'o before meeting Kha-Beleh without much effort. I don't know if this was intended by the author or not