The details of what Fury did or did not ask her to do were completely unnecessary and Iron Man's ready point became a clenched fist of frustration until he was given proper directions. Evidently, he had already made his choice before Nick finished asking his question, because Iron Man turned and stomped his way back out without hesitation. Whatever Nick had to get out was not an issue of Tony's, and he didn't have to worry his shiny bald head over it. Tony wasn't here for him, and he wasn't doing him any favours to save face. He was just here for Cassie and Nick could shove it.
Third deck, room 4 was an anonymous duplicate of the twenty rooms around it spanning this echoing and sterile metal hall, its only mark the minute '4' stamped into the wall next to it that was invisible until faced dead on. That was where Iron Man finally stopped, and finally heard Fury's casual dismissal, 'I don't know if she listened', preparing himself for further disappointment. Like ripping off a band-aid, he rapped his knuckles sudden and hard against the steel door and stared intently at its unmarked surface like he could will it to open and one fucking thing to be all right.