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First of all, irrationality has nothing to do with intelligence.
I can be a brilliant scientist and still be a megalomaniac who doesn't see his own end coming.
Also, Precia never was a big schemer. She was a brilliant scientist, that probably made a lot of breakthroughs, but she still is insane.
She didn't give up on going to Alhazard or whatever it's called even when the chance was already lost. Her desperation and depression made her mad and she craved for a magic "fixing" even though it wasn't even certain.
As I said, it's not about how evil her actions are but that she's literally irrational and delusional. She lost her grasp on reality quite a lot.
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