So if it's a balcony, I would also choose the "integrated" one. However, the question arises for me how often it will then be used as an office. And wouldn't it perhaps be cheaper to create openness there with corresponding skylights and a very large window?
Although I do quite like balconies in that form myself, in vacation apartments we have had, we also used it very gladly. But the main living area is probably on the ground floor after all, and then the question is how often it will be used!?