Does the fast count as valid if the fasting person drank out of forgetfulness before the Fajr adhan, thinking they were in a short nap before the adhan, whereas the time had already passed?

Scholars have differed regarding one who breaks their fast, thinking that night remains or that the sun has set, whether this interrupts the continuity of two consecutive months of fasting or not. The relied-upon opinion is that the continuity is not interrupted. Al-Mardawi held that error does not interrupt continuity, and similarly, Al-Dardir mentioned that presumption or forgetfulness does not interrupt continuity. However, the day on which one mistakenly broke their fast must be made up immediately after the fasting, without any separation. If there is a separation, the continuity is interrupted, and one must restart the fasting from the beginning.