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It drops, but overall, the current luck is a complete mess.
It's strange that no one has written about vampires here.
If you apply the "Timeless" ability to vampires after they have a sacrifice, then neither the Necromancer's troops nor the vampires will take any damage until the sacrifice effect ends.
Perhaps this can be disrupted by attacking the vampires themselves, thereby disabling their passive ability, but I haven't tested it yet. And the computer doesn't attack them.