Need help please from folks who've installed a 2009 SG rear fender on a 2009 RK. The SG rear fender has the upgraded tri-bar run/brake lights. Do I need a longer wire harness to connect the tri-bar assembly light and which socket housing do I connect it to? If a longer wire harness is required, what wold be that part number?

I do have the 2009 touring service manual but when it comes to electrical, my skill is limited to connect/disconnect tasks. If someone will be kind enough to direct me to a page number in the manual for me to locate the specific socket housing on a Road King and connect the tri-bar aux light.

Thanks in advance.