Can a Madu be a Magic Staff?

According to the rules, a madu must conform to the rules of a shield of any size and a Dagger, Small, Long or Great. Under the rules of a Great, there is no minimum strike legal, so it can conform to the requirements of both a great (48+", not used to slash so there is no strike legal) and a Magic Staff (36"-72", padded on both ends)

A magic staff says it can't be wielded with any *other* shields or weapons but a dagger, but it's the same shield/weapon.