Well, gee, excuse me for going off-topic to make sure that someone describing themselves as "a person with an extreme gluten allergy" knows to watch out for plywood.
Going off-topic almost never happens here, and I'm very sorry I went off-topic for such a trivial selfish reason.
Generally avoiding plywood isn't actually useful advice for someone with even a serious problem with gluten: "simply touching gluten will not harm an individual with celiac disease." [1]
The above source does continue: "...there can be a risk of ingesting airborne gluten, which is usually caused by flour. It is also important to remember not to prepare gluten-free foods in spaces where there is a risk of airborne gluten, as particles will settle on the food, making it unsafe for those with celiac disease to eat." [1] Perhaps you meant to imply something more in this line, that say the sawdust from cutting plywood could be a potential problem if food is nearby?
In the same spirit as your apology, let me apologize for assuming that your original advice was sarcastic commentary about people who are gluten-free rather than genuine though ill-informed advice.