Killed 10 Spybugs before they took you photo.
Area: The Nexus. I'm not entirely sure how early you can do this in this area, but I had the entire DLC and sidequests finished. The area in the video spawns two variants of the robot, named Spambot and Spyware. Spyware is the one you're after, but the spawn rate is significantly lower. I got lucky spawning two of them here. Reload the area if they're not there or after you've killed them. Once you kill 10 named Spyware without them "taking your photo" via the white beam they emit, the achievement will unlock.