Vox Mentis

So I didn't notice any point where they took any stuff off her, such as her cell phone.

Start recording. They won't like that. Should buy you some time to think of something else.

At a minimum, get something reflective in the shot, get them worried. Even a reflected glimpse of it could affect their ability to evaluate you. If you don't want to give away the game just yet, when they come in to ask what you're doing, you can act like you're playing with whatever-it-is to help yourself calm down.