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Ya don’t need AC when its raining down on you for a month and a half! Nor do you need it in the middle of a world wide ocean.
I’d think A/C as a dehumidifier might be kind of useful if you’re on a wooden ship full of animals and it’s raining outside for forty days and forty nights. Seems kind of practical, really.
Of course, on a ship of such size the real question would be where’s the Lido Deck and the buffet?