The intention on the first day of Ramadan suffices for the rest of the month

The questioner : Peace be upon you. And upon you be peace. Shaykh Muhammad, how are you, O Shaykh? Yes, and to Allah belongs all praise. If you please, I have a question regarding the intention for the first day of Ramadan. For example, if a person sleeps and does not know whether tomorrow is Ramadan or not?

The Shaykh : He intends in his heart; if it is Ramadan, then he is fasting.

The questioner : Yes.

The Shaykh : If he does this and it turns out to be Ramadan, there is no harm. And if it is not