Having AC in the lanai is just not possible

I’ve been trying to convert our lanai into a toil out room for quite some time; The issue is that I don’t know what to do about AC.

The lanai is screened with no windows. The natural airflow plus a ceiling fan is what is right now used for cooling, for summer, the air is warm plus humid, but i drip sweat the entire toil out. It gets into our eyup plus I slip all over the location. I basically need to get up at 6am to toil out plus I still am warm, then a cooling plan is the solution. The issue is that I don’t know what AC component would toil for our situation. Due to the screens, all the AC would fly out the lanai. It would be a waste of energy plus genuinely fancy to run, then what I would need to do is unattach all the screens plus change to windows. This way the space is airnarrow plus the AC would not leak out, but then what do I do? Every wall but one would be a window. The other wall is the one that attachs to our house. There is a doorway, light fixtures plus genuinely small space in between. I don’t guess I can realistically install a ductless mini split a/c. I need to mount the indoor air handler on an exterior wall. That is not possible. I can’t exactly attach HVAC duct to the lanai either; Portable AC would have to sit on the floor plus take up space. So what chances do I have left?

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