The difference in ambient temperature due to air conditioning pumping heat outside is unmeasurably low. If all the power a city uses went to AC, it'd still be negligible compared with the sun irradiation on its surface.
Over the scale of an entire city, it might be negligable, I don't know, I haven't done the math. My guess would be it is measurable, but not a lot, probably less than a degree. But the GP said "no it doesn't" increase heat. I'm just saying that even if it is a very small amount, it does increase heat.
And if you stand near an AC unit, you can definitely feel heat coming from it.
1c to 2c according to simulation in Paris, even up to 3-4c for some streets
The exhaust of a single car/plane/ship are also immeasurable, yet here we are...