Sue......I went to your website and looked at your awesome stuff.....just my 2 cents, but I doubt VERY highly that a CO2 laser will work for you. I don't care how well you dial in the settings, the edges once stacked and viewed from the side will be burnt. As someone previously suggested, you might be able to sand it off after it is assembled.....but other than that.....it WILL looked burnt, not vibrant like when cut with a blade. A galvo might be different, but a CO2 will have burnt edges.
Epilog Mini 24 - 45 Watt, Corel Draw X5, Wacom Intuos Tablet, Unengraved HP Laptop, with many more toys to come.....
If you have an apple and I have an apple and we exchange apples then you and I will still each have one apple. But if you have an idea and I have one idea and we exchange these ideas, then each of us will have two ideas... George B. Shaw