Most ACs will recirculate the room air over the cooling coils, so they don't actually introduce fresh air. It's more efficient to keep cooling the same air than it is to pull fresh warm air in from outside. Remember, most folks run their AC when it's hotter outside than in.
The window units that I own have a vented/ non-vented selection lever, but they aren't young- I don't know if more modern units still have these.

I suspect that your ladybugs are hanging out low, under your canopy because it's too hot for them up by the lamp. They'll eat once it cools down some.

You need 10,000 ladybugs to clean up how large an area? Commercial floriculture is rarely expressed in units of square feet. Certainly you need a bunch of bugs, but 10,000 seems like a lot.

Ya gotta drop your temps,man.