To me, the girl being left with them was a bit predictable, otherwise there would have been no obstacle. I think the fact of a father calling to tell SOPHIA, of all of them, was absurd. I don't think if a father called to tell the babysitter that they had triplets he would agree to talk to a woman who claims she's going to be on the cover of Sports Illustrated. I think most fathers would demand to speak to someone else. He also could have dropped by. Afterall he knew that he left the child with them. I think the whole episode would have worked fine but it should have been reworked differently to appear more believable.
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