How did Sai Baba's life and the activities in his mosque blur the lines between Hindu and Muslim traditions?

According to Chapter 7 of the Shri Sai Satcharitra, Sai Baba's entire being and environment defied simple religious classification. While he resided in a mosque, a Muslim place of worship, it featured a constantly burning sacred fire (Dhuni), the ringing of bells, the blowing of conches, and the performance of Bhajan, all practices associated with Hinduism. The text poses rhetorical questions, asking how he could be a Muslim with these elements present. Conversely, if called a Hindu, his residence was a mosque, and it's noted that his circumcision was evident. This ambiguity is a central theme in Chapter 7, which describes him as a holy incarnation beyond both Hindu and Muslim identities, treating both groups with equal impartiality.