Strange continues to act so high and mighty as he raises an eyebrow at Rita. "Of course I do. The Circle's home to esoteric texts that people in your station could only dream of seeing."

This is a lot of lying. Needless to say, any information that Strange received, he obtained through his conversation with Nightshade, not any conversation with Circle members. Still, there's no way in hell he's mentioning that part. He's just going to keep gloating and keep acting like an asshole partly because he can, partly to see if he can actually get some respect for once.