3rd (unlikely possibility) Is it possible that the TVA exists in a space outside of all universes, but they all connect to it with their own variants? Could there be multiple versions of the same people running around? (It wouldn't have been an issue with one time line, but would be an issue now). Reason it makes sense, our Mobius and B-15 were in a control room, but Loki found them in the Library. Reason it doesn't make sense, wouldn't the versions Loki met want to confirm he belonged to 'their' TVA?