Does your math include the carbon necessary to harvest, transport, cut the lumber? And to haul away the existing structure?
True. I don't know how many lbs of carbon it takes to cut down, transport, and harvest a tree. But I would hope less than 15,000 kg.
If the trade off isn't worth it, use electric machinery and transportation powered by nuclear plants.
Does your math include the carbon necessary to harvest, transport, cut the lumber? And to haul away the existing structure?