rotating skyscraper

Its nothing like those.

Those have one or a few floors rotating with a full base structure beneath… not ALL the floors where the only support is the core.

This building is not cylindrical so there is no outer “ring”. The building is “Y” shaped. Even if there was a stationary core it would be very small in comparison to the rotating part. Either way you are talking about supporting huge loads with a proportionally small and weak core.
Still a MAJOR engineering challenge and not like current buildings with a massive core and where the outer part of a few floors rotates.