Mouser might have what you need. You'd have to find one that fits the factory connector or order a male and female version of whatever 3 conductor connector you decide on and swap both over in your harness so they match each other
https://www.mouser.com/c/connectors...8MI4oBb9seoQyYbcF_Y9lDjR1tR9bu0xoCaO8QAvD_BwE