Backup lamps circuit for BMW 3 series E46 facelift (2001-2006)

A/T ADAPTIVE HEADLIGHT CONTROL MODULE (IF EQUIPPED) BLK WIRE BLU WIRE BRN WIRE E-BOX ELECTROCHROMIC INTERIOR REAR VIEW MIRROR FUSE FUSE (LEFT REAR OF ENGINE COMPT) FUSE HOLDER (GLOVE BOX) GRN WIRE HOT AT ALL TIMES HOT IN RUN AND START INSTRUMENT CLUSTER CONTROL MODULE LEFT BACK-UP LIGHT LEFT TRUNK LID LAMP M/T NAVIGATION COMPUTER PARK DISTANCE CONTROL UNIT RED WIRE REVERSING LIGHT RELAY REVERSING LIGHT SWITCH (RIGHT SIDE OF TRANSMISSION) RIGHT BACK-UP LIGHT RIGHT TRUNK LID LAMP TRANSMISSION CONTROL UNIT (LEFT REAR OF ENGINE COMPT) WHT WIRE YEL WIRE