Realistically the heat added via electricity is likely going to be added to the compressor itself not the radiator so ofcourse the radiator will be cooler. Also, a laptop charger has to convert from AC to DC so they will always consume more than the listed power output.

If we want to really dive into the depth of the subject though, more thermal energy is created, stored, and radiated in heat islands from cars than air conditioning. You'd be hard-pressed to heat the planet via electricity when the sun is really the thing doing all the work here. If the AC is powered via solar it's a big nothing burger really, especially if the solar panels are in the same geographical area as there would be no exporting energy to different locations.

Now, let's consider all the cars, planes, and asphalt that will be used for the olympics. Seems to me the best way to reduce the effects of climate change in this scenario is to not have the olympics unless it is walked to.