She sounds like a pre-teen to me, and her actions are typical of almost anyone navigating the hormones. (If I did anything, it would be making her fix the gate.)
If it were me, I'd give her a break, no punishment and just keep a closer eye on things.
Now as a mom of two older teens, please know it is going to get worse. The air head/fog is par for the course; as a parent we just do our best to love and teach them through it. The good news is, they do regain use of the brains again, but it doesn't happen overnight. I think this is your oldest and many moms expect so much more of them than their younger siblings; you will be a lot more experienced as the others enter the pre-teen and teen years.