Les Écorchés - S2-E7
Stupidity: The highly trained, elite security officer who tracks Angela down to the backups knows exactly what she is, how dangerous she is, and what she's capable of, but still drops his guard, flirts with her, lets her get up close and personal with him, and as a result gives her a clear window to grab his grenade to blow up herself, him, and all the backups.
Laura Ingalls Wilder (1) - S7-E1
Stupidity: Charles and Caroline are dancing at the church social. Charles makes a comment about Laura getting married. Caroline responds with "I'm just dying to call you Grandpa." Mary's son just died. Charles has already been a grandfather. That comment was beyond insensitive, and just plain stupid as written. She should've said, I can't wait to call you Grandpa again.
The Night of the Human Trigger - S1-E12
Stupidity: West and Gordon are in the coal cart and rock it until it tips over so they can escape. Neither West nor Gordon had their feet tied up, only their wrists, meaning both could have merely stood up in the cart and jumped out of it, rather than rocking it side to side.
Stupidity: The emigrants lack guns yet after several bandit raids the team does not take the guns and ammo from the bandits to protect themselves from future raids. It's not like they can swing by the local Cabelas and stock up on guns and ammo.
Zorro's Ride Into Terror - S1-E8
Stupidity: When Diego sees that the passage door is opened, he invites Sergeant Garcia to sleep in his bed. However, Diego never tries to close it, and in the rest of the scene, nobody (even Captain Monasterio) seems to see it open.