Luxury hotels generally have higher ceiling heights.
After all, they have decided to add balconies, which are almost never seen on hotel construction. This is going to be one fancy hotel.
If the ceiling heights are around 3.5, which would be reasonable for a luxury product, and you add the 5 podium and 5 crown floors, which look to be around double the height, and also add the mechanical penthouse, which looks to be around 10m, you get:
(3.5*59) + (7*10) + (10) = 286.5m
Edit: I do think this is a very generous estimate, so my actual guess would be around 267-276m