OK, at 16, does your daughter paint her nails in bright colors, maybe change colors often...the same with lipstick & other makeup...although you've had Mango a couple of months, there has to be something he's seeing, that bothers him...he came from a breeder who is older than your daughter and is most likely a much calmer type than your daughter, let's say a matriarchal type and he's probably seeing your wife similarly and since you mentioned that the birds seem to prefer to go to you, they're looking at you as flock leader.....I may be way off base with these suppositions, but for seven years, I had a birdsitter who had custody of two of her granddaughters and all of my birds let the girls do almost anything with them, until one Halloween the oldest girl and a few of her friends came over to let their grandmother see them dressed up for the night...the birds stayed in my den and the girls had to walk through the living room, the dining room and down three steps to get into the den...as soon as the oldest girl and one of her friends (both of whom had dyed their hair fluorescent colors) walked through the double doors and started down the steps all hell broke loose and two of my birds went after them.....my birdsitter took a couple of bites, but she kept the birds off of the girls.....also, and I don't remember if it was a member of this forum or another group, but she had stopped, after work and had a pedicure, with a flag on two fingers and stars & sparkles on the others.....she gets home opens her bird's cage and the bird attacks her new pedicure...
Something else, if not already known, the ladies of the house need to remove earrings around your birds, actually, they should not wear any jewelry around your birds, jewelry with stone settings are subject to immediate re-design, stone removal and possibly having a ring crushed crushed around a finger so that it has to be cut off...earrings can get torn out of ears an anyone wearing any visible body piercing does so at their own risk.....
I don't know if ant of this may have touched on the problem with Mango, but I've given you some ideas.....
Good luck.....