I really appreciate all the objective inputs shared. I hope to answer as many of the questions posed as I can, however some such as where the property is located I cannot share unfortunately, at least not now.
From the diminutive engineering knowledge that I possess I cannot provide any useful response to questions posed on the structural aspect of the build. My objective here is to learn about the pool part.
The structural engineer and the architect took into account many factors, including the max number of people that could possibly fit on the deck and pool, not only the weight of water. The explanation I received is that the pool is solely on primary beams and is independent of the house structure; that it bear its own weight. Honestly, I do not know what that means, but that is why professional structural engineers are involved. Two separate structural engineering companies, including one who has consult and build bridges in NW, PA, MA and all along the eastern corridor the last thirty years has physically inspected the structure; yet some here are able to come to a conclusion on the structural integrity of the property just from looking at a picture taken ways away.
Everything about the house and pool, except for the beach access is planned and is in the structural engineering drawings. For example we asked for the pool to be cantilevered significantly on the narrow zero edge side after the fact for dramatic effect but the structural engineer overseeing the build (yes, a different structural engineer than the one who drew the original plans is supervising the work) denied it. The most according to the computer calculations and something about international standards that he cited said it could be cantilevered at most 3 feet on the two zero edge sides, so that is what we are going with. That is for the weight of water but because it is an infinity pool part of the cantilevered area will be for the catch basing and not hold that much water.
We have read quite a bit already about issues associated with rooftop pools and have taken much of what I have learnt into initial plans, before the concept was even developed. I do not think we can ever read enough however so I plan to read the information at the link provided above. For example the pool is suspended about a foot from the bar deck. The reason is that regular inspections, perhaps with a camera and light can be conducted for leakage. The mechanical engineer is looking into sensors and alarms for that.

This is the original concept. The difference is that the pool size is reduced with a different orientation. Infinity edge on two sides with a 3 foot cantilever and a beach pool access.