The Doctor watched curiously as Loki began to check doors, though she did look a bit concerned as some began to open as people poked their heads out to see what was going on.
The snap and the change of clothes surprised her. She glanced down, realizing that whatever he was doing reminded her of the TARDIS' own cloaking system. And...that time it had failed with poor Clara. "Brilliant, good choice. I like the pockets!" She put her hands in the jacket pockets which were, admittingly small. But they would do.
Run a little. Yes. She started down the hall, keeping her chin up to at least look like she knew where they were going, though her hand casually slipped onto a door. Locked. "They don't trust many people around her, do they?"
Then the elevator door opened and three people with security uniforms stepped out, a fourth dressed in a sharp suit emerged. They looked armed. She whispered to Loki as she took a step back. "Did I mention how much I hate guns?"
He seemed to know more about how these fellows operated. Hopefully, he'd have an idea what to say. If not, she was going ot have to think fast.