If someone drank water during the Adhan in Ramadan, is their fast valid, or must those days be made up, even if they are numerous and the person does not remember their exact number?

If a person drinks during the call to Fajr prayer, knowing that the adhan is only called after the dawn has broken, then his fast is invalidated and he must make up for it. However, if he knows that the muezzin calls the adhan a little before the time, then there is no harm in eating and drinking during the adhan. If he does not know and assumes that dawn has not broken, then his fast is valid and he does not have to make up for it, but he must stop immediately upon realizing that dawn has broken. In the case where making up the fast is necessary, he should make up what absolves his responsibility.