Shooting and printing do not depend on it, so keep going — the booth works offline by design.
The hotspot recovers on its own within a minute or two. If it does not, the 10-second reboot brings it back.
The only thing affected is how quickly guests receive their copies, and that catches up later.
Didn't solve it? Text (914) 825-5498. If it's your event night, lead with that — those go to the front of the queue.