I would do sky roof over the air well, get the area sheltered and yet can enjoy natural lighting. Get good tint to filter uv n heat. That's a unique design that you dun find often.

Polycarbonate roof can get very noisy when it rains.

I would suggest you engage couple of aluminium guys to get quotation for laminated glass plus mildsteel/aluminium structure, and get their advice how to do the skyroof. Try not to do flat roof as it restrict rain watwr flow and can accumulate dirt mark. Also assess if their suggested design can allow for access to do regular cleaning/water spraying...