Can you explain Sai Baba's philosophy on the unity of existence, using the incident with the lady and the hungry animals from the text?

Sai Baba's philosophy on the unity of existence is beautifully demonstrated in an incident from Chapter 9. When a devotee fed a dog and a pig, Baba later told her that he was the one who was fed and that his hunger was satisfied. He explained this seemingly impossible event by stating his complete oneness with all creatures: "That dog which you saw suddenly, I have oneness with him... Similarly, the pig smeared with mud... I have oneness with him." He further elaborated, "He who sees me in all beings, know him to be the one I love. Therefore, you renounce the sense of difference; thus alone worship me." This teaching highlights a core non-dualistic principle: the divine consciousness, personified as Baba, pervades all forms of life.