Dog door question

My florida room has a storm door and I need to somehow outfit it with a dog door. I have a 60 pound pitbull and the bottom below the window isn't big enough for a dog door. I opened the window and he can jump in and out of that just fine. I thought about mounting a piece of treated plywood where the window is and installing the the dog door in that. Has anyone done this before or have any other ideas? Thanks!

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