I think it's "funny" how almost every time this happens, the cop tries to go out of their way to explain how they made the mistake. "See. Doesn't that look like you?". Just take the L, apologize, and move on. The last thing the person you've been harassing, threatening with jail time, and put in a situation where they feared for their life when they were just minding their business wants to hear about is you trying to justify your mistake. You're not going to all be laughing about it once you do. "Oh man! You almost took me to jail and had me thinking you might shoot me because I'm the same race as this guy you're looking for LOL!".