Get your taxes done using TurboTax

Sounds like you make an Estimated payment.  When did you pay it?  It is not extra withholding.  It is an Estimated payment.  Enter it under

Federal 

Deductions and Credits

Then scroll way down to Estimates and Other Taxes Paid

Estimated - click the Start or Update button

 

Pick the right State, enter the date and amount.   If you paid it in 2023 you should also get a deduction for it on your federal return if you itemize deductions.