You're assuming the green is the ground. Most likely, it is not if it's made in China. Any way to remove the the light to check pin continuity through the light itself?
Continuity between two pins will at least tell you how to complete the circuit. It probable won't be 0 ohms but it should read something other than infinite. Then you can match the pin to the socket and test wiring that way to find a ground and positive.
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