After some soldering and heat shrinking I reversed the JST connector on my battery, and it works! Of course now the leads are too short, so I had to flip the battery over, and the door doesn’t quite close right.
I don’t know how Shiguru managed to plug the connector in backwards. On mine, I couldn’t have put the plug in the wrong way without destroying the socket.
Here is a picture of my temporary fix. (I believe that Seeed will send me a replacement battery soon)