Eventually, Strange gets up to the group. Surprising no one, his focus is instantly on Ignatius and starts to focus on the magic and see what happened. As he sees Rita's display, he knows what she's doing and starts explaining for those who don't have cool magic viewing skills.

"She's injected him with these tiny little ice-like machines. I tried to dispel it before all this happened," said with a vague wave of his hand, "but there's something about the technology itself that impedes my spellbreaking."

And that's when he looks up and unintentionally examines a different set of magic, the one surrounding Lambert. And despite the form he's wearing, Strange recognizes the magic of Lambert's ring almost instantly. The wording of Strange and Lambert's contract is vague enough that he doesn't go for the kill right then and there. He does summon a fireball to his hand and fix Lambert with a calculating frown while deciding what to do next.