Minnesota does not tax active duty military pay. You are not a MN "nonresident." You are a "resident" of MN as active duty military with MN as your home of record. When you complete the "My Info" section. Select "Yes" for military member and Minnesota as your resident state. You should add the other state as a state you had income in. Once you enter your W2 information the next page asked you if you have "military active duty pay". Be sure to select that and your MN information will adjust.
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