I am afraid you are mistaken, the ambient temperature increase is meaningful[0] in this case up to a predicted 2 degree increase for Paris if they double the numbers of their ACs.

ACs are more than just fans – they are basically fridges for your room, and like every thermodynamic machine they produce more heat than they can cool. Only not in your room but outside.

AC means cooling your room while heating your city.

[0]: https://www.cnrm-game-meteo.fr/IMG/pdf/demunck_2013_ijc.pdf