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You can't.
Seriously, new moderators are only chosen a few times a year, and the minimum requirements for applying are very steep. Even so, hundreds apply, but only a few are selected. If you seriously want to be a moderator, you'll need to be an active, contributing user for well over a few months to even be considered. Pestering the current moderators or administrators to become a moderator essentially guarantees that you won't be selected.