Look at the return where you are a resident and you should see a credit for the taxes paid to the other two states
While TT suggests doing the non- resident first, I can’t imagine it really matters .... the software recalculates every time you change an input ... and.... if there software was calculating incorrectly, their guarantee would kick in for an incredible number of users who file in multiple states.... could be over a million!
I am actually surprised TT states the order as much of the information is filled in every time you enter a document .
Low risk and if it is wrong, TT would cover penalties and interest
