Nick came for me and I was able to give Jake a good case around it.
From my perception, Jake was the one who put the target onto you, not Nick, because he felt better about me and Poirot. We didn't tell you that because we knew you already kinda wanted to gun for Jake and didn't want to stoke that. From what Poirot told me, Nick actually would have preferred to target me but settled on you as the target for the former BAU because Jake was pushing it and Nick didn't want to rock the boat (especially since I was probably the option Jake would have least been on board with voting for).
edit: this was all irrelevant because we had the tiger idol, but still
Lucifer was really the one who tipped that vote because he realized that he was the supposedly-fake-plan to us in part because the former BAU didn't actually care that much about him. Jake can correct me if I'm wrong here but I think Jake got on board more because of Lucifer flipping than because of either of us were particularly convincing; I think Jake never really wanted to be the swing vote there because it would seem like a betrayal to the former BAU on the other side.