What, exactly, is the proper procedure for one of those sequence? Does Chain of Vapor -- the card -- go in the graveyard before, after, or simultaneous to announcing a second copy (either yours or your opponents)?
You carry out the instructions in order. And then the last step is chain of vapor going to the graveyard. So the new copy will already be on the stack before the original hits the graveyard. (It won't resolve right then, just get put on the stack.)