The more people install air conditioning the more energy we use, warming up the world even more, requiring even more AC units to be activated.
If you are worried about the local heat generated by the air conditioners themselves, there are new coatings and panels that can radiate that heat directly to space, for example https://www.skycoolsystems.com/. Also just removing a few parking spaces and replacing them with green space can help at a city wide level.
That's also only the operation of the things, their production and transport involves global chains of mining, shipping etc. and all the solar panels would be the same on top of that
Compare with data centers running entirely off grid, powered by tens of massive gas generators.
In Florida, HVAC accounts to 40% of energy bill of the household.
40% of 15% is not that much, even if everyone is using AC.
Just because you can make it look small by focusing on the percentage doesn't change that. At the end of the day it means, if we accept these numbers, that the total national energy usage would go up by around 7%. That then gets multiplied across France Germany, The Netherlands, Poland, Belgium, the UK & Ireland etc., to the point that the total power usage is as if we suddenly had another entire country.
And keep in mind while considering any of these numbers that our current 100% is already much higher than where we need to be at to avoid widespread ecological disasters. We need to be reducing our usage not saying "well it's only a few percent more."