Let's make this one clear first
Reika Mishima = the name given to Ixtli by Ayato accidentally, which is actually a mistake. she's not a human.
Haruka Mishima = the girl Ayato met when he was 14, who later becomes Haruka Shitou.
Quote:
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5. Ayato and Mishima Haruka's (instead of Reika Mishima?) first acquiantance
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I think this is actually a flashback to what happened when Ayato and Haruka were 14, in both versions of reality (ie. the old and the new world), which is not a part of the ending.