JFYI, both the tail lamp and brake lamp circuits are hot all the time, the voltage to the brake lamp leds is just increased from 6 volts to 12 when the brakes are activated.
Something to remember when wiring anything back there. If you tie into the brake lamp circuit with anything using something other than an LED, it might not seem to create a draw but it does. Some bulb types might not illuminate or seem to but they are trying, just not enough voltage. Basically you'd have a 12 volt bulb on a 6 volt circuit until the brake was activated as which time the voltage is increased to 12 and it would illuminate.
I know most lights we might use are LED but this is why most LEDs will illuminate off the brake light circuit even with no brake activation unless their threshold for illumination is 12 volts.