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Alicia Keys and her man Swizz Beatz are reportedly shopping for real estate in New York City.

According to the New York Post, the couple has been looking at a penthouse in the Peter Marino-designed condo building at 170 East End Ave., across the street from Gracie Mansion.

“They’ve been back four times to view it,” a source told Page Six.

Keys is said to be interested in the duplex penthouse, which features a fireplace, double-height ceilings, three bedrooms, floor-to-ceiling windows and East River views. The address also ha   s a gym, squash courts and private screening room.

The building is home to hedge fund manager Arvind Sanger, who paid $12 million for his penthouse.