Yes, you would have to pay extra for TurboTax Live.
You have confirmed your filing status of married filing jointly and that you have two children.
If the expenses were paid from a pre-tax fund, all pre-tax dollars are not eligible to be included in this credit. The IRS would consider that a "double-dip," since you did not have to pay tax on the funds allocated to daycare. Also, if your spouse did not work, your credit may be limited. Regarding Massachusetts, however, I would not expect it to be limited if you were receiving the full $6,000.
This is another resource for you, 2019 IRS Tax Topic 602, Child and Dependent Care.
