There will be more atomic C in the upper layers of the Earth if you dig deep and pump out natural gas. How long will the C atoms in those "stable product" stay

There will be more atomic C in the upper layers of the Earth if you dig deep and pump out natural gas. How long will the C atoms in those "stable product" stay there? Burning wood is clean energy: it does not increase the number of atomic C in the upper layers. Natural gas is not, unless you find a way to store those C.