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An Orc in the late game is a serious opponent. In this regard, Hafiz is not a good choice. Haggesh doesn't have any extra skills, but Hafiz's machines are almost useless in such a final stage, and the gremlins aren't very effective either. Either Ora, or Razak, or... Maybe it's worth trying Faiza altogether? Because of dark magic. This is definitely the best school against Orcs; they have no resistance to mind control and other such things. You don't even need to take Faiza; you can take Ora instead and try to develop dark magic. Then there's also the element of surprise. But Faiza has it from the very beginning, plus, who knows? Maybe his destructive beam will be useful? First, it reduces the Orcs' defense, and second, it immediately removes their rage. I haven't tested it, but it might be good.
The biggest problem when playing against Orcs is precisely the rage, which absorbs a huge amount of damage. So, I would pay more attention to initiative artifacts and mini-artifacts. For Rakshasas, instead of Battle Spirit, for example. A mini-artifact for initiative + "Onslaught" + retaliatory attack (or attack on multiple targets, whichever you choose. But I would take the first against a human player; computers like to put units in a pile, but people don't really ;) ) – and you get a very powerful attacking tool that removes rage. Djinns might benefit from a mini-artifact for speed – then they can fly around the entire map. Or also for initiative... Honestly, I don't see much benefit from Battle Spirit; it's always positive anyway and usually around 3, sometimes 4. I'm not quite sure why you would need 1-2 additional points of Battle Spirit.
Well, that's about it. However, there's one more thing: in your place, if the "Leadership" skill appears, I wouldn't refuse it, and if the alternative is "Leadership" – "Luck," I would definitely take the first. Yes, the chances of it appearing for the academic are small, but is it worth mentioning how great the skills are there? Whether it's empathy, the aura of speed, or machine loyalty – all of this is an excellent aid to the academic!