Are you really asking where to enter the state taxes via closing upon the sale of property?
OR, are you asking how to handle a credit for double taxed income for a resident & non-resident state?
NMI - like perhaps the actual states involved?
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Add the non resident state to the return and code the sale to that state https://proconnect.intuit.com/community/state-taxes/help/adding-or-deleting-a-state-return-in-lacert...
Lacerte generally does a good job with state tax credits for taxes paid to another state.