Question:
Does one need a Mezuzah on doors to a narrow balcony?
Answer:
you should put up mezuza there on the right side of the door when you come inside from the balcony, but with out a bracha. the reason is because even though the balcony doesn’t need a mezuzah on it’s own, but the doorway also services the dining room, we you come inside from the balcony. (This issue is controversial, therefore we put up the mezuza, but without a bracha).
Best wishes