I'm confused. I followed the brown ships to the wall, assuming maybe they'd start shooting there, but nothing happened. Should I have shot first and asked questions later? Nothing implies the brown ships are malicious...
Okay, so the timer ran out and I flew around for a really long time before deciding to shoot my gun once, at which point the cycle reset and the message I got at the start of the next one talked about how I "take a few more of them with me each time". I mean yeah, flying along the wall definitely means the drones die...