The triplex was actually two different buildings. The interiors were filmed in TriBeCa while the exteriors were filmed in Chelsea roughly two blocks away from the Pier 62 studios where SVU films the precinct, hospital and courtroom scenes.
While not mentioned, the producers and network of "Heart's Desire" could have also faced penalties from the Federal Communications Commission for showing the sex scene in the Dream Suite, since it meant that they had aired what was, in-story, an actual sexual act which would fall under "Indecent Content" or even "Obscene Content."
Second appearance of Michael Gross. First time was in Lust (2002). It was also his fourth appearance for the "Law & Order" franchise, after Trade This (2000) and Crazy (2002).