That's a great idea!!!!!
I would propose a high-speed retractable roof that is composed of 4 distinct segments that can independently open\close in just under 6 minutes. Very plausible, I think....
The city itself covers almost 800 square kilometres, so segments of roughly 200 square kilometres each, spanning the NW, NE, SE and SW, should do the trick.
Off the top of my head here, I'm thinking the city should budget just northward of 800 billion per segment -- bringing the entire job to somewhere around $3.5 trillion. That's certainly palatable, if not affordable. And it should only take 60-70 years to complete.
So yeah, all around, very awesome.
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