The tree would take what you burned and bring it back down because it's working in the dilute context already. Ethanol, or other biofuels, are nominally a close

The tree would take what you burned and bring it back down because it's working in the dilute context already. Ethanol, or other biofuels, are nominally a closed cycle because you burn what you captured then capture it again. Now it's true corn ethanol is problematic for a variety of reasons (not least of which is use of fertilizer), but the concept of carbon neutrality in biofuels is mostly sound. The tricky part is to do it at scale, and reliably.