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Throughout that entire back-and-forth with Loki and Sylvie, I was thinking to myself - "He's going for the third option, doing what he does whenever he's not sure of what to do - listen to himself talk and stall for time." Maybe a half-formed idea while he's doing that - don't kill him or replace him. Intersect the timelines and let TVA Kang deal with the consequences. Give him the one-fingered salute while backing out the door - hopefully letting all their problems squash each other.