From there, it's only a matter of leading her over a step towards the nearest shadow and walking into it. He vanishes and she will, too, once they hit it. Where they go is a mystery, because it's obvious that they do go somewhere, a plane between the shadows. No sound, no light, and then they're out again. Overall, such a short hop gives about a breath's worth of time to even realize that happened.

They're now on the other end of the haywire bathroom, over in the patch of shadows on the far wall near the control box Childermass had pointed out earlier. Definitely better than fighting through the combat AI, if potentially creepier. He'll let go of Peridot's hand at that point and eye the stall door that starts wildly — ineffectively — opening and closing at them.