Is it possible to gain access to my passport while it is in possession of the Entry / Exit Bureau?

I have an unusual situation, so I'm not sure if this question should go here. I live in Beijing, and my passport is currently at the Entry / Exit Bureau in Yonghegong, where they are extending my residence. I have to wait another 2 weeks or so before collecting it. However, my new employers in Taiwan are trying to sort out my work visa application so I can move there. They urgently need a copy of my passport's main page, but I don't have one, because this is a new passport that I brought directly from the Embassy to the Entry / Exit Bureau, without making a copy. Now I am wondering: is there a way that I can ask the Entry / Exit people to either (a) make a photocopy of my passport's main page, or (b) allow me temporary access to my passport so I can make a photocopy using the public photocopiers they have in the lobby there? I know it's an unusual question and I would appreciate any insight into this situation.