The Book of Rebellion: Chapter Three: Angelitos Negros - S2-E10
Stupidity: The SWAT van transporting Khalil comes upon the most obvious setup in the history of setups, a crashed car with a miraculously unharmed woman lying in the street next to it, one arm suspiciously out of view. And of course one highly trained SWAT agent, instead of going in with backup, circling around for a proper look, or driving around (as his teammate suggests) or anything similar, wanders over and is immediately killed for his trouble. And then of course despite being surrounded by armed cops, she somehow manages to kill all of them without a problem (offscreen of course, because there's no way to believably show her single handedly killing about 20 cops).
God Complex - S5-E23
Stupidity: Maggie and OA are searching the building. As they walk up the stairs, Maggie is using the Harries technique, but she has both her handheld flashlight and the gun's flashlight on at the same time. This defeats the purpose of the technique. Additionally, it's daytime, so the building is lit up from natural light sources, but they still have their flashlights on. (00:13:36)
Stupidity: Donna runs in to save everyone from the collapsing pylon, dying in the process, despite the fact that Superboy or Raven, both more powerful/resilient, could have stopped it falling without any issues whatsoever. Not even like anyone was distracted - the fight was over, they were all just standing around.
Stupidity: "Rei" comes into the circle, having been champing at the bit to "turn him into a smear on the floor." She's wielding a sword, Kovacs is unarmed, and she...slices him a bit, instead of a quick killing blow.
Stupidity: When the officers are getting into the elevator at the hospital, they are all banged up and dirty from whatever adventure they just had, including the Watch Commander, but Harper and Lopez brag they are clean because they're detectives. The Watch Commander outranks them, so they should be just as dirty as the rest, and he should be clean.
Suggested correction: We've seen time and time again that Sgt. Gray is not afraid to get involved in the action.
Episode #1.7 - S1-E7
Stupidity: When Eugene approaches Tsuda after Tsuda is shot by Ae-sin, Tsuda attempts to shoot him, but after pulling the trigger, he realises there are no bullets in the gun. Seconds later, a group of soldiers run up to him, and he attempts to shoot them, but he can't because the gun is still not loaded. Something he should have known since he only just attempted to shoot Eugene and failed because of it. (00:50:00 - 00:50:30)