The 3M MSDS on pressure sensitive adhesive is that is acrylic (100%). The decomposition products are:
Hydrocarbons
Carbon monoxide
Carbon dioxide
There is no flash point or other hazards. I would guess most PSAs are the same…pretty inocuous, but vent the stuff out the window or through your filter. - Rich
Edit: This is the same stuff that comes out the tail pipes of most cars. You’ll get more of these same chemicals coming off off the lasered wood than you will from the adhesive.