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Credit for Summary: SAO: Alicization Wikipedia Just a few changes from me.
With Alice watching, Kirito and Eugeo begin fighting one another. During the fight, Kirito does his best to snap Eugeo out of his synthesized personality. Eventually, due to the synthesis ritual having been rushed and no memories removed, Eugeo manages to regain control of his mind. He freezes both Alice and Kirito with the Blue Rose Sword and heads up to kill Administrator.
Eugeo, pretending to be under the influence of the piety module, allows Administrator to put him in a dazed state and to remove the module. While Chudelkin goes to inspect the results of the battle, Administrator attempts to resynthesize Eugeo, but fails. Eugeo tries to pierce Administrator only to hit a defensive shield. Metal cannot pierce her skin.
Chudelkin gets ambushed by Kirito and Alice and the two force their way up to the Administrator's room. The three fight Chudelkin, but he proves to be extremely skilled with the sacred arts, as he summons a fire element monster resembling himself, which he calls the Genie.