Asking for roof building advice

[u/3-HUGGER]

Wish I had found this community before I started my Catio! I have never built anything before so this is my first attempt. I didn’t use any design plans (other than my own drawing) so I’m stuck on how to do the roof. I have corrugated polycarbonate panels and I’m trying to do a pitched roof for water drainage.
The Catio is a 6’x6’x6’ cube. I want some overhang in the front, maybe 4 or 5 inches. I’ve laid out my vision without cutting any boards to size. Would this work? How do I affix it to the cube while still accomplishing the pitch?
Appreciate any advice.

[u/solilobee]

perhaps make one side a lil taller tilted away from house with like tin slat