Answer: There are many plants you could experiment with, but I would caution you that the location could pose a challenge--it will likely be very hot and sunny, and, at the third floor elevation, drying winds could be a problem. Also, for large plants like tomatoes, you'll need large containers, and these will be heavy, especially when wet.
You might start out with some Mediterranean herbs such as thyme and oregano and perhaps a cherry tomato, as well as the day neutral or everbearing strawberries, and see how they do. For best results, use as large a soil volume as possible.
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