This is what The Boerum looks like now. Eagle photo by Lore Croghan. Travelers think of it as the Hilton Brooklyn New York, whose address is 140 Schermerhorn St. Luxury-apartment buyers think of it as The Boerum, which uses 265 State St. as its address. The 196-room hotel will occupy the first six floors of the Boerum Hill building that the Carlyle Group and Flank, a development firm, are constructing. And 128 condos will be situated on the upper floors of  the 20-story property. Hilton’s website is accepting reservations for Jan. 15, 2017 and thereafter for this new Brooklyn inn.