Yes, because you paid WI state income taxes, you will need to
file a State Income Tax Return for both Wisconsin and Minnesota. Since your tax
home is MN, you should prepare your
nonresident state (WI) return before you start your resident (MN) return.
Be sure to indicate that you earned income in more than one state (see attached
screenshot).
See this link for
more information: How
do I File a Non-Resident State Return?
Wisconsin and Minnesota have a "reciprocal"
agreement with regard to income taxation. In other words, you only pay taxes in
your home state. TurboTax will handle this for you. Be sure you answer all
questions as accurately as possible to ensure the best possible outcome in your
situation.
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