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I might have exaggerated about the 10k damage, but in any case, you can forget about using skeletons and liches as a combat unit, and in this scenario, the battle is heavily skewed in your favor because the Dungeon's archers have no penalties in melee combat, and they are generally fatter and stronger. The Undead are left with vampires and dread knights; I don't think you can lose in this situation, although it depends on how you play.
Added after 19 hours and 1 minute
If you can do what you described and also buy everything on the second week and leave, then I'll take my hat off to you; I haven't been able to do it even once! And it's also hard to find external dragons; the Conservatory is only worth bombing if there are 10 or a maximum of 20 griffins in a group (at 20, there are already serious losses).
But in principle, on the second week, the Sha'ir is better; after that, he's not so good, especially against the Necropolis.
Perhaps you're upset that everyone here disagrees with the viability of your tactics, but you'll have to continue. First, unfortunately, an army of 3-4 thousand skeletons for the Necromancer on the second month is a realistic scenario. This is if you don't use vampire lords, which are banned in tournaments. Second, your tactics don't stand up to any criticism; at any difficulty level, when playing against a HUMAN and not the AI, it is absolutely unviable. If you want to understand exactly why, read different information on the forum, including the beginner's guide. Finally, different players post here, and I advise you to listen to what Forrest writes, who is one of the strongest online players of Heroes 3 in the world. And if you disagree with him, then at least justify your position with specifics, because otherwise, it's just a waste of forum space. Good luck.