The change in input that you describe (adding your spouse as having an HSA) would not fix the original problem of excess contributions that you reported.
TurboTax is clearly reporting that your $5,200 contribution was in excess, and that would be because it did not think that you had the Family coverage for the full year. Just checking your spouse's HSA box would not fix this problem.
As a check, please look in Forms (upper right) and see if you have a Form 5329. If so, do you have amounts on line 47, 48, and 49? This is where the excess is reported as well as the 6% excess tax on the amount carried over.
If you don't have a form 5329, then you don't have any excess tax on the excess...but I don't know how you "fixed" it...well, declare victory and file.
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