Russia wants this carrier so they can finish their conquest of the Caucasus nations. The French just want to make money.They should be booted out of NATO for the sale. Ul;timately when the Russians are finished they will sell it either to India or Iran.
The French aren't "in" NATO. They do coordinate. Maybe they could be denied the NATO communication.
India or Iran can get such ships from other suppliers directly-Italy or China, respectively.