On my 2001 STS I replaced both brake light bulbs with 3157 LED bulbs forTheres a capacitor wired across the brake switch contacts, maybe that has open circuited. There should be an orange and white wire attached to the switch that is the power and feed to the EBTCM, the brake light, and cruise control circuits there should also be a black wire on each side of the switch, those are the wires to the capacitor.
lower wattage, aka lower heat. All the brake lights are now working, however I still have code C1295, brake light switch open. However with current draw almost 80% less than incandescent 1157 bulbs, the circuit may think it is open when it is merely much less than expected. I did not find a capacitor on the brake switch leads.
At this time cruise control is not working and the traction control light is on, both issues seem related to the C1295 code.