Where are you seeing that you owe tax due? If you mean you see an amount due in your account, that will not change in your account even if you paid. TurboTax never knows how, when or even if you paid your tax due. Your only proof that you paid will be your own bank or credit card records. Your online account will continue to show the result of the tax return you prepared, so if you prepared a return with tax due, that is what will be shown in your account.
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