I'm trying to understand Sai Baba's philosophy. How did he seem to bridge the gap between Hindu and Muslim traditions according to the seventh chapter?

Chapter 7 of the Shri Sai Satcharitra focuses heavily on how Sai Baba transcended religious definitions. It states that if you called him a Hindu, he appeared like a Muslim (Yavana), and if you called him a Muslim, he had the noble marks of a Hindu. He lived this unity in his daily actions. For instance, as described in this chapter, he resided in a mosque, yet he maintained a sacred fire (Dhuni) burning there day and night, a distinctly Hindu practice. He celebrated the Hindu festival of Ram Navami with kirtan and devotional songs, and on that very same night, he would also permit the Muslim Sandal procession, treating both with equal joy and impartiality.