It is just because they seem to think it is so important who the father is, it is so relevant to the story. It is not a random guy. It is someone that is integral to the story they have already started telling otherwise they would speak about it differently. And the fact that Jennifer knew way back when, before the Pilot, means to me that he is a character that is ingrained in this story and so the only choice, the only choice, is Bae. There is no one else that he can be, in my opinion.
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