Hi JBCurtis
Thank you for reaching out. Yes, you can simply connect the brake wire + ground to the ezCAN output. Keep in mind that the reason for 3 wires on the light is for the assumption that you will be connecting it into the bike's OEM wiring. Because the ezCAN will be regulating the brightness on the light, you can ignore the running light wire. The ezCAN will alter the brightness using the brake wire (which allows brighter intensity than the running light wire).
Kind regards
Ruan