I had a play with it today, I'm now "in training" for making a reservation in a few weeks' time (for mid-late August).
I'd minimised the mouse clicks, screen movements, etc. through some browser optimisation, and I estimate <0.5secs from availability appearing to me clicking "book permit". I failed.
It was sufficiently fast that I wonder whether someone has a script running to automate this... Does anybody use the exit permits commercially?
