How to e-file amended state returns

I e-filed both state and federal returns in February. After both returns had been accepted, I received a corrected mortgage form. I amended both returns, but TurboTax only submitted my federally amended returns. I live in NYS, which seems to be on the list of states that TurboTax can e-file amendments for, so what is the process for e-filing this amended state return? I double checked the amended state return and the corrected information is updated, so I'm not sure if I should go through the "amendment" process a second time if no information will actually change? Thank you!