TCC Brake Switch Wiring

[MDPotter]

I've been researching but haven't been able to find a definite answer. I've got a Gen III LS and a 4-prong brake switch and will be installing LED tail lights. On my dad's Gen IV with a 2-prong brake switch, we installed a 470 ohm resistor but we did that so the TCC wire would see 12v. With my 4-prong switch, is that necessary? Below is the wiring diagram from PSI. I will be connecting the red to switched 12v, purple to TCC wire out of the PCM, and white and orange to the brake switch wiring from my American Autowire harness. Do I need to install a resistor inline on the white or orange wire for the tail light wiring?