How would I take control of a new character that I spawn after the current one has been destroyed?
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Take the return value of spawn actor, get the controller, and make the controller possess the new pawn.
How would I create that new pawn?
you are already doing it with the “Spawn Actor My Character” node.
Simply create a node to get the controller, and call Possess on the controller, passing in the new pawn.
I did that and when the actor respawns, the camera stays at the death point and the controls don’t control the actor.
post a new screenshot.
Anyway, you should destroy the actor AFTER spawning and getting the control on the new one.
You need to provide the pawn which you want to possess. Right now you’re just telling the controller to possess nothing. Simply connect the output of the SpawnActor with the pawn input of the possess node. 
Still doesn’t work, the camera still sits there where the death occurred and it seems as if the new pawn isn’t being possessed.
Bumping question.