As someone who has lived around that architecture for the last 33 years let me just say this. While it is unique, different, and seen quite frequently here in the Southwest especially NM it is one of the worst roofs to maintain. You will be doing good to get 10 years out of a flat roof before it needs repair/replacement. You have no attic either so if you decide you want to add something to the ceiling like a fan or another light fixture your hosed. You want to run another cable drop for TV or internet, your not going in the attic for that either. I have seen people actually put a pitched roof on a flat roof many times but I have never seen anyone get rid of a pitched roof and go with a flat roof on a home remodel. Water/snow will stand on them even if they put a small pitch on it. The new membrane material they are using is better than the old tar and gravel method but still they are a royal PITA to maintain.
Caveat Emptor!
Stucco exterior is definitely the way to go in this part of the country for sure!
Funny, first thing I thought when I saw it was, “where’s the roof?”, second thought was “oh, it’s a DD drawing with no roof yet”, third thought, when I realized it was flat roof with parapets and internal / thru-wall drainage, was pity for the contractor who builds and warrants it for a year, then the owner who has to maintain it. I’m with Mike, roof it!!