Very Simple LC5.3 question that could save me time

Last night, and this has happened from time to time since I've been lasering (which is not very long) I tripped the circuit to my laser by turning on another accessory tool in the shop. It was about halfway done with a 2 hour cutting job.

Is there a way with LC5.3 to start a job midstream after such a mistake? Or even to save a job, shut the machine down and start it up again? I guess those are actually two different questions. Right now the first one is what I am trying to figure out. Asking the Chinese seems likely to be a back and forth thing taking several days to get clear on.

Thanks