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it doesn't change - it's the same in both genders
another translates to: 'un autre' or 'une autre' depending if masculine or feminine
another beer.... une autre bière
another coffee..... un autre café
autre
the other day = l'autre jour
I will do that another day = je ferai ça un autre jour
I want the other one / another one = je veux l'autre / un autre, une autre
Un autre monde was created in 1984.
Une autre histoire was created in 1987-05.