When my master lich levels up and becomes an Arch-lich, will it die if they have been genocided?

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I've genocided Arch-liches and polymorphed my pet into a demilich. It has recently leveled up into a master lich. Will it become an Arch-lich, and if it does, will it die because I genocided them?
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Images: imustbedead, Karolina Grabowska, Karolina Grabowska, Artem Podrez