How did Sai Baba's life and practices demonstrate that he was beyond the labels of Hindu or Muslim?

Chapter 7 of the Shri Sai Satcharitra provides a detailed account of why Sai Baba could not be exclusively identified as either Hindu or Muslim. If one called him a Hindu, he looked like a Yavana (Muslim), yet if called a Muslim, he bore the noble marks of a Hindu. He resided in a mosque, a Muslim practice, but kept a sacred fire (Dhuni) burning there day and night, which is a Hindu custom. The text further highlights these paradoxes by noting that his ears were pierced like a Hindu, but he was also circumcised. Ultimately, Chapter 7 concludes that his incarnation was holy and transcended these religious distinctions, as he showed equal and impartial conduct toward both communities.