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What i am saying is that . It was kinda implied that 182 and others were there since the beggining. "Fog child" yk. So 45 yrs = 2 or 3 yrs to set up the establishment , 15 to 17 yrs of training for 182 , maybe he ran away at 18 so add 2 more years and then broom being 17 thats around 39? Or you could add or substract 2 or 3 years here and there. ???.

Wtf Just a crazy theory . What if the broom girl is 182's child? Remember how he was going around mindlessly due to limbo? Also cause like broom has white hair and the only way for her to have white hair is for her to be 182's child or that she actually reached the center and there she was impregnated. But since she gave birth in the female cell quarters the easier possibity for her to get pregnant would be by 182 and than coming back to the womens cell rather than running away from the center.