This blood that is affecting you is not menstrual blood; rather, it comes from a ruptured vein.

Since, as you said, the bleeding continues both during the days of your usual period and at other times, leave the prayer only for the days of your customary menses. When those days have ended, perform a ritual bath, wash the blood from yourself, and then pray, even if the bleeding of istihāḍah (non-menstrual bleeding) is still present.

Lessons drawn from the ḥadith
1- The blood of istihāḍah differs from menstrual blood: istihāḍah is continuous, whereas menstruation has a set time.
2- Istihāḍah does not bar a woman from the prayer or from any other act of worship.
3- Menstrual blood, by contrast, prevents a woman from praying, and she is not required to make up those prayers. Ibn Daqīq al-ʿĪd remarked that this is virtually unanimous among earlier and later scholars, the Khārijites being the lone dissenters.
4- A woman with istihāḍah who knows the length of her normal period counts those days as menstruation; once they end, she bathes so that she may perform, during her days of purity, the acts of worship avoided by a menstruating woman.
5- Blood is impure and must be washed away.
6- A woman experiencing istihāḍah is not obliged to repeat the ritual bath every time a prayer period begins.
7- Ibn Daqīq al-ʿĪd noted that the phrase “wash the blood from yourself and then pray” appears problematic because it does not mention the ghusl (ritual bath), which is essential after the menstrual days have passed. The correct explanation is that this wording, though it omits the bath explicitly, includes it implicitly, for the other sound narration states, “and perform a ritual bath.”

Chapter: The Ruling concerning a Woman in a State of Istihāḍah
From ʿĀʾishah (may Allah be pleased with her): Umm Ḥabībah experienced istihāḍah for seven years. She asked the Messenger of Allah ﷺ about it, and he instructed her to bathe, so she would bathe for every prayer. (1)