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Zoro isn't assuming anything without Luffy. And, funnily enough, between Rayleigh and Zoro only the former is confirmed as a first mate; the latter is a combatant.
Your post makes no sense, either you didn't type it as you wanted or you don't know who is or isn't a first mate (not vice-captain, that title isn't correct), because, if anything, the one with the title to asume captaincy would be Rayleigh.
Your post makes no sense, either you didn't type it as you wanted or you don't know who is or isn't a first mate (not vice-captain, that title isn't correct), because, if anything, the one with the title to asume captaincy would be Rayleigh.