One thing to take into account is how well that area is insulated and is it on the sunny or shaded side of the house plus windows as they bleed thermaly in both Winter and Summer.
Air Flow is important too and I read one time a ceiling fan can often assist with A/C as they keep the air moving and its that movement that cools you down.
Until it died I had a ceiling fan set on reverse spin in Winter and I found with my 10 foot ceilings, with it running it pushed the Hot Air down from the ceiling and upped the temperature by around 3C at head height when seated.
The house my Daughter bought has in inbuilt Reverse cycle unit and we found that even though it has outlets to 3 rooms, opening and closing the internal doors affects the hot/cold flow of air due to the replacement of the Return.
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