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Both Shuichi Akai (alias Subaru Okiya) and the little girl (whom Masumi is hiding and looks a lot like her) seem to have a deep connection with Shukichi Haneda since they closely follow his matches and are ecstatic at his win. The little girl even took the TV remote to bed when the broadcasting Shogi match where Shukichi was to play had been on hold temporarily. The pieces all fit into the puzzle if the little girl is actually someone related to the Akai family by blood and Shukichi is the middle brother.

Both company president Goudzou from the Magic Kaito manga from Phantom Lady's backstory and detective Kuroda Hyoue have a fake eye. For any Rum hunters out there, here is how Gosho draws people who have both fake eyes and glasses in the manga. The fake eye side is shaded so that the eye is not visible through the glass. Furthermore this is done quite consistently in all panels, so it looks like the glasses are half regular glass half sunglasses. In the anime, the fake eye is shown, but the pupil doesn't change size at all or react like the other eye. The eye just stays still and remains expressionless. For some reason the fake eye side doesn't blink which is strange because eyelids should still work. It is possible this pupil-never-changes convention might hold over to the manga (in case Rum does not wear glasses), but that's quite questionable.

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I'd say he's at least their level as well. He's just a bit dorky, like Eisuke, so sometimes it's easy to underestimate him.