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From the MN dept of revenue website it explicitly says not to file for an extension:

 

"You automatically have until October 16 to file before we charge a late filing penalty. Do not request an extension to file."

 

https://www.revenue.state.mn.us/filing-extensions

 

There is a place to pay the estimated taxes for MN on their dept of rev website.  I did this with the estimated amount I had for MN when I filed for an extension with my federal taxes through turbo tax.

 

Now I have the same issue as OP where it's still listing that I owe $1500 when I paid $1800.  I should be receiving a $300 refund.  How should this be handled in turbo tax?