If your exhaust is removing air from the tent, then air from outside the tent will attempt to fill the void. Are you exhausting to the outdoors? Exhaust is going where?
Do you know the humidity of the room that the tent is in? You may be better off trying to control that environment vs attacking it inside the tent.
Not 100% sure (someone feel free to correct me lol) but I believe that air that is a higher temperature is able to hold more humidity, up to a certain point. So, relative humidity is more a measure of the percentage of potential saturation, vs an actual humidity value, all relative to temperature and pressure. Therefore, the same humidity value might have a lower or higher RH value depending on temperature. And pressure.
So, I dunno if that has anything to do with anything.
Also, can you post a pic of the unit? Is it a portable a.c. with one single hose coming from it or? ... I jerryrigged a wall unit to be a stand alone, worked like a charm.
And you should probably do a visual on the drainage situation. If it's working it'll be draining water, so that's something to confirm.
I've read that some of these unit actually use the condensate to cool the unit itself, so I wonder if the exhaust air is laden with water vapor.
Which leads me to another question. How are you measuring? Via the unit? Handheld hygrometer?
One last thing, are you using the a.c. setting on the unit, or is it set to dehu?
Sorry for so many questions LOL, just realized how high I was and how long this post is. But you know how trouble shooting goes...
too many bong hits of gg4 and blueberry this am