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Oh sure, a stereotype! In the regular versions, some of the phoenixes are reborn after the last one dies. If you don't believe me, I refer you to Leshy. He is a great specialist in phoenixes ;)
The experiment showed that it was possible to revive... I was wrong, my apologies. I personally rarely build phoenixes, but I admit my mistake. But this doesn't change the essence of the matter! After death, they are reborn even with the Anti-Magic spell. Either way, in between, you can revive once and not much more. It's like roughly one and a half earth-dwellers; it's the same here.