does anyone know how the big commercial mirror me photo booths work ? do they use an ir overlay

Hi this is my first post so here goes
I stumbled on this forum as most of you probably did with the intention of building a magic mirror.
mine will not be powered by a raspberry pi but by a laptop and it will be a full size 6 ft by 3 ft one.
the problem I have encountered already is that the acrylic 2 way mirror 3mm sample sent to me by a company does not allow me to touch the screen so to speak.
I have a 27 inch capacitive multi touch monitor that I would like to use behind the mirror but when I place the acrylic on the screen it won’t allow me to activate anything on the screen and doesn’t recognise my touch.
question is do I need to change the monitor or look for another acrylic that will work ?
thanks in advance for any help and keep up the good work…