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Let's remember that if we're talking about a multiverse in the MWI sense, then universes have to be weighted by the squared norm of their amplitude. Otherwise you get, well, the ridiculous consequences being talked about here... (as well as being able to solve problems in PP in polynomial time on a quantum computer).
Right ok. So in that case, even if we have more new universes being created by a given specific descendant universe, the total measure of that set of universes won't be any higher than that of the original descendant universe, yes? So that makes this problem go away.