Can you elaborate on Sai Baba's philosophy of 'oneness' as explained through his interaction with a devotee in Shirdi?

Sai Baba's philosophy of oneness, as powerfully conveyed in Chapter 9, transcends mere metaphor and asserts a literal, divine immanence in all forms of life. He revealed this to a lady who fed a dog and a pig by stating, 'I have oneness with him [the dog].' He expanded on this by saying, 'Sometimes I am a dog, sometimes a pig; sometimes I am a cow, sometimes a cat. Sometimes as an ant, a fly, or aquatic creature, in such forms I roam.' This teaching, described as 'supreme nectar' for the devotee, instructs that the ultimate spiritual practice is to 'renounce the sense of difference' and recognize that the same divine consciousness, Baba himself, pervades every single being, thereby making service to any creature a direct form of worship.