No, TurboTax is not going to pay the extra tax or penalty you owe for making your own mistake and claiming a credit more times than the tax law allowed. TurboTax's accuracy guarantee covers calculation errors--which you did not have. Your mistake was your own, which you pay for yourself. Sorry.
https://turbotax.intuit.com/corp/guarantees/
**Disclaimer: Every effort has been made to offer the most correct information possible. The poster disclaims any legal responsibility for the accuracy of the information that is contained in this post.**