Honest question. How would you have to dispose of the tree to capture the carbon? Burry it? Wouldn’t composting release the carbon?
The alternative is to gasify it, and produce biochar (a.k.a terra preta), a form of carbon that is mixed with the soil to improve it's nutrient and water retention, friability and microbial activity. Biochar is theorized to be stable for 10k years in the soil.
I went to the tour of recycling plant, and as part of the tour they told us what happens with Seattle garbage: they excavate a pit, line it up with plastic, put garbage in, cover it with plastic, put soil on top. Without supply of oxygen it basically stays there almost forever. They cut a carrot with was in such pit for 10 years. It was black on the outside, but still orange inside!
Anyway, put trees in such pits, and you have carbon capture!