I love doing exercises outside.

I like to do a gymnastics based work out everyday, but I can only do it outdoors.

I have folding mats and the space on my deck. The problem is that if the weather is cold, rainy or snowy, I can’t go outside. I am then stuck in my tiny living room with the scratchy rug. I then have to do a standard workout of push ups, crunches and jump rope. I get where I desperately miss tumbling in the winter. What I want to do is revamp my deck space. I want to fully enclose the deck and make it a sealed tight room. I think I could have windows with screens that I would utilize in the summer. I would open the screens to get fresh air and the windows would let in sunshine. In the winter the windows would be shut to keep the cold out. I would need to invest in HVAC too. In the winter I would need heavy heating due to the room is not technically connected to my home or heating equipment. I would need the heating good enough to keep my muscles warm while I tumble. I also would want to think about AC. The windows letting in sunshine would be quite hot. Also folding mats that get sun on them get super hot. A little AC would really go a long way. What machine is big and powerful enough for my issues? I might need to get a ductless mini split with 2 indoor air handlers in the space. That should be good enough right?
Heating dealership