taken literally you seem to be saying that there are costs other than energy involved in atmospheric carbon capture, which is too obvious to be worth saying; your capex and non-energy opex costs can be low but they obviously can't be zero or negative
do you mean more costly than the energy obtained by burning it, because that's a small edit that converts your statement into an assertion that's at least coherent
if so, no, the cost is about an order of magnitude smaller; though coherent, your assertion is still wrong