How to get rid of water?

Question

Do it yourself

Good afternoon/evening.
Do not beat me with sticks (maybe I wrote in the wrong place)
I want to ask people who understand physics.
I have a house for a street cat. (homeless) made it so that he could warm this cat who lives there as much as possible. In general, he lived there for some time and lives, but I noticed such a thing that water accumulates in him. under him. I understand it is condensation. in general, the design is as follows:
1. the frame is made of aluminum rails
2. the first wall of the foam plastic is lined with aluminum foil on both sides and glued to the frame with aluminum tape
3. the second inner wall is also made of foam plastic and is glued on both sides with a newspaper.
4. the inner wall is also lined with a thermal substrate
5. inside I adjusted the bedspreads for softness (so that I could lie)
6. now the most important thing. it seemed to me that this was not enough and I also bought him a thermal blanket and put it down, i.e. when the cat climbs a thermal blanket and a soft blanket,
yesterday, for example, I changed these blankets for him and from somewhere there was water under him. on a thermal blanket.
The question is where is the water on the thermal blanket (wet hand)
I want to understand how physics works. it turns out that cold air comes into contact with warm air (since the temperature inside the house is an order of magnitude higher than outside.
is it possible to make the entrance a little smaller for less contact with cold air ??? or I don’t understand something
visually, the house looks like this
link to youtube https:/ /youtu.be/l-MmUnJ5MEE
UPD: The cat feels well. No health problems have been noted so far.
Water accumulates between the substrates, i.e. on the one on which the cat bed is dry, but lower by several substrates where the thermal blanket is wet. PS! water is 100% odorless.

Answer 1

The steam that your cat breathes out condenses on the walls of your booth.
Ventilation, flowing air is needed.

Answer 2

Buildings can only be insulated from the outside, otherwise there will be condensation inside. Because the walls will be cold. Also, it is important that the walls are vapor-permeable.