Must one who became pure from menstruation before Fajr and slept without performing ghusl until the prayers were missed, then performed ghusl and prayed, make up the fast, knowing that she was fasting?

If a woman is certain of her purity and intends to fast before dawn, even by a minute, her fast is valid, even if her ritual bath (ghusl) is delayed. However, if she doubts her purity and intends to fast, her fast is not valid, because the default state is the continuation of menstruation. Her entering into the fast while doubting her purity prevents the fast from being valid. If a woman becomes pure, she must perform ghusl for prayer immediately, and it is not permissible to delay it until the prayer time expires. If she forgets that she has become pure, there is no blame upon her for delaying the prayer until she remembers, then she performs ghusl and prays what she missed.