Do brown drops after seeing the white discharge, performing ghusl, praying, and fasting mean that the period has not ended, and does the girl have to make up for the day she fasted?

It is understood that these brown drops are called "kudrah" (brownish discharge), and that kudrah after the appearance of the white discharge (qassah bayda') is not considered menstruation. Therefore, the fast is valid and the prayer is valid.