Are these brownish discharges, which turn transparent and are not accompanied by dryness or a white discharge, considered a sign of purity?

The criterion for dryness is the insertion of a piece of cotton into the private part and its emergence pure, without any trace of blood, yellowness, or turbidity. White discharges are not considered. Yellowness and turbidity connected to menstruation are considered menstruation. If this yellowness disappears and transparent discharges appear, then you have become pure, and you must perform ghusl and pray.