The right turn signal and brake lamp on my factory 7-way plug has no power. I've checked all the wiring and fuses. I've determined it is the relay. I know this relay is not replaceable like the others inside the fuse box. I'm in a pinch for time so I spliced into the right turn signal and right brake wires. Everything seems to work without a problem except the "Lamp Out" light comes on and it chimes the entire time the turn signal is in use. I know I can just unplug the chime box but I don't want to.

Does anyone have any other thoughts?