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Are you sure you are connecting them properly? How are they connected?
Yes. Spade connectors.
E3 Triple or Pro 2? Shorting when you've joined them? How did you strip the cables?
Says E3 pro on front, E3 on rear. Supposed to run on 6V DC. No they don't short, stripping and fitting connectors all done correctly I think.
Is it an AirStream 5V taillight?
No says 6V on it.
Will bring both lights back to the shop and see if they have a powerful wizard there to sort this out.
Doesn't seem like it, wires from it to the rear make lots of happy numbers on my multimeter screen. Could be it's lower than 6V or something I suppose. Will check again.