The second floor of the building will have stadium seating in a community room, which will provide views of the inside of the ballpark.
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Construction on the apartments is expected to take 12 to 13 months, with units opening in the summer of 2019.
The units will range in size, offering between 532-square-foot studios to 1,717-square-foot units with three bedrooms.
The building is about 120,000 square feet.