My first step was to remove the housing of the BCM with it still plugged in. This allowed me to test the voltage supplied to the buzzer. This variable needs to be known in order to choose a resistor, if needed. In our case, one is needed. The voltage powering the buzzer is between 9 and 12 volts. That is more than enough to ruin a LED.
This photo shows the BCM connected to the vehicle with the housing removed.
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