Not sure where you plan an outlet for the 2 ends once its connected to the back of your radio unit. May have to drill holes in the plastic trim cover below the radio.
I was in the same boat sometime last year. Aux went bust and was tired of messing around with 2 wires for music and charging.
I bought this: BMW part# 82110149390 which is the cable itself and does not include the tray. Plug in a good Aux- bluetooth adapter and you have 1 less wire to use. Can always use the car charger as and when needed. Goodluck