The camera could do it, or you could do something like this as well:
That’s how I used to line up huge jobs with my CNC machine - create a regular pattern of small circles and use them to line up the work as you run it. (the circles shown here are larger than you’d want)
You’d run this first:
Then this:
And use the two circles highlighted in red for alignment. Jog the laser to each one in turn, and make sure the corresponding circles from the previous cut are in the correct spot. The current version of LightBurn has these: