Why is zinc not extracted from zinc oxide through reduction using $CO$?

(N/A) The standard Gibbs free energy of formation of $ZnO$ is more negative than that of $CO_2$ at the temperatures where $CO$ is typically used as a reducing agent.
According to the Ellingham diagram,the line for the formation of $CO$ from $C$ and $O_2$ lies below the line for the formation of $ZnO$ from $Zn$ and $O_2$ only at very high temperatures.
At lower temperatures,$CO$ cannot effectively reduce $ZnO$ to $Zn$ because the reaction is not thermodynamically feasible $(\Delta G > 0)$.
Therefore,carbon $(C)$ is used as a reducing agent instead of $CO$ for the extraction of zinc from $ZnO$.