It isn’t Lightburn making the laser stop - your laser controller has stalled and given no indication to LB, which carries on as if it was working normally.
The problem is at the laser controller, quite likely due to poor grounding resulting in static buildup that trips the controller out.
this is a reference, but with the Ortur, which is very similar in construction: ORTUR LASER MASTER 2 - Service Notice - Grounding