Caveat though… They say itheir tiles are acrylic, but that doesn’t mean it’s PMMA which is what we think of as acrylic that comes in Sheets.
The only thing that I would say seems pretty sure laser safe or laser-performant in there are the wooden backed ones and only the Wood side. I also question whether or not melamine is particularly dangerous.
All plastics (and really almost anything you laser) will off gas things that you don’t want to be breathing but the question is whether or not it continues to be toxic after you’ve lasered it and/or continues off gassing. If it does off gas post lasering it won’t be forever, I would suspect that lasering melamine is about as dangerous as lasering any other plastic — with the caveat for things that create chlorides like PVC which is more dangerous than other plastics, as its byproducts will damage your machine.
Further reading on material safety: