Is the prescribed punishment (Hadd) mandatory for adultery committed by a person who alternates between sanity and insanity?

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The prescribed punishment for adultery is mandatory if the individual confesses to the act while lucid (in a state of wakefulness/sanity) or if witnesses testify that the act occurred during their lucid state. There is no known disagreement on this matter. This is the position held by Al-Shafi'i, Abu Thawr, and the companions of Ra'y (Hanafi school). The evidence rests on the fact that the adulterous act, which necessitates the punishment, occurred during a time when they were legally accountable (Mukallaf) and the pen of responsibility was not lifted from them, and their confession occurred when their speech was validly considered. Abu Dawud narrated an account involving a mentally afflicted woman before 'Umar, where 'Ali suggested the act might have occurred during her affliction.