I assume by center brake light you're referencing the third brake light, the LED strip in the center between the tail lights?
If so, as that is a strip of LEDs and not a bulb(s), I would check my lighting circuit fuses to ensure nothing else had failed, and probe the connector after disconnecting the brake light to look for the ~12V it should see when illuminated. Too much current to the light *should* have blown a fuse, and if the voltage is consistently too high you should be able to be measure that easily at the connector. Either of those things would indicate the problem is elsewhere in the car and not the brake light itself. I suspect though, you've just gotten a bad part.