Mazda Repair Questions? Ask Mechanics for Answers ASAP
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If the brake lights always work when the brakes are applied then most likely it is a weak brake shift interlock on the shifter which is not sold separate however you do need to remove the shifter bezel and clean it soapy water to rule out a drink spilled in and making it sticky. If that does not resolve it then a new shifter is in order. Below are 3 files showing the directions.