A dehumidifier, outside the tent, running strong in order to dehumidify the entire room the tent is in to say 45%. If your dehuey is in the tent now, it likely needs to be bigger for the room but you can test it out.
THEN, if needed, you run the portable just enough to lower the temps to where you want them. So...
The dehuey is in the room circulating such that it lowers the room down to 45%. That will raise the temps going into the tent.
The exhaust OUT of the tent goes OUT of the room! Then you have solved your issues (imo).
Only thing that can work in the tent is a small heater as needed.