Running a Stove Pipe Out The Basement Window?

I have a corn stove I was going to hook up in my basement. Someone suggested since my window was broke, why don't I run the pipe out that window. It comes with a wall fitting around the pipe. But I have to hold it in the window. I didn't want to use plywood.

The window is your plain small hole in the foundation in a grey metal frame. The windows pops out easy, so I can then run the pipe up the side of house with proper distance from house and double wall pipe. I also have my walls painted with a fire resistance paint. I'm going to paint around the pipe also. Thank you so much for your time.

So, are there any fireproof fittings, box, or case to put in the window then the pipe?

Robin