It's shaded on the west, so that should be okay. If the cats still don't like it in, say, June/July/etc. you'll know, because they will abandon it in the afternoons. They can move about freely, so either way, it poses no danger to anyone.
Yikes on the plants, and furniture.
One question...can the A/C be put a little higher up, so that nothing, technically, needs to be moved because of it...? Is it a window unit, or can it vent through the wall?
Love All Life, Thank You For Posting! :)