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The affordable housing lottery is open for Archer Green, a 23-story mixed-use development at 92-23 168th Street in Jamaica, Queens. Designed by Edelman Sultan Knox Wood Architects and developed by Omni New York, the 552,156-square-foot building will yield 387 units. Available on NYC Housing Connect are 351 units for residents from 40 to 130 percent of the area median income, ranging in eligible income from $20,160 to $183,300.

Construction is making rapid progress at 38 West 36th Street, where a Peter Poon-designed hotel is about to begin its vertical ascent. The project’s developer is Executive Hotels, and it will house ‘Le Soleil,’ which…