HARDDON
Thanks for the props on my determination to make it right

Here is a pic of venting coming out of other side of wall....

It is 4 inch expandable ehaust vent. ( At any hardware store/menards/homedepot)

I have a 25 foot run that goes to a dryer vent to the outside of the building.

I put my hand under the outside vent and there is definantly a steady warm airflow coming out.

I put my nose to it and there is no mistaking the aroma

There would be water droplets on ceiling and water on floor b4 installed...

Now room is DRY