Is it permissible for me to perform ṭawāf and prayer, knowing that the slight bleeding I am experiencing is not menstrual blood, and its duration has exceeded fifteen days?

If the blood flow exceeds 15 days, it is no longer considered menstruation, and performing Umrah and prayer becomes permissible. Menstruation only prevents a woman from circumambulating the Kaaba (Tawaf) during Hajj and Umrah. She is allowed to perform all other rituals, but the Sa'i (ritual brisk walking between Safa and Marwa) must be done after a valid Tawaf.