In terms of kWh per kWh, by how much does greenhouse CO2 from running an air-conditioner heat up the rest of the Earth?

It is said that ACs are counterproductive in fight against global warming, in that while they may make the local environment temporarily livable, the greenhouse gases produced while making the electricity needed to operate them heat up the rest of the Earth by much more than the relief from the AC itself. By how much exactly is...