I've always wondered why dogs eat things that aren't food, more than once I've seen dogs eating fiberglass batting on construction sites. Plywood edges do tend to break away when you least expect or want them to, I can't imagine what it took, that size forstner bit slows down the wood lathe when doing horizontal drilling!
So I looked it up apparently it's called PICA https://m.petmd.com/dog/general-health/what-causes-pica-dogs