For the months that each of you had disqualifying insurance, you were required to tell TurboTax that you had no qualifying insurance, not Family or Self. However, if the insurance that covered your wife for May through December 2023 did not cover you, that was not disqualifying coverage for you, only for your wife, and if all $7,750 was contributed to your HSA, there would be no excess contribution.
There is no such thing as a family HSA. Only one individual (apparently you, not your wife) owns the HSA even though distributions from the HSA can be used to pay the medical expenses of a spouse or dependents.
