Based on Chapter 27, what is the connection between a devotee's spiritual progress and the Guru's happiness, and what role does faith play in this dynamic?

Chapter 27 illustrates a deep, reciprocal connection between a devotee's spiritual life and the Guru's disposition. The text states that the Guru finds supreme joy in whatever constitutes the devotee's own happiness and feels more wonder as the devotee turns towards the spiritual path. However, this entire dynamic is predicated on faith. The chapter explicitly teaches that the subsiding of the six passions (like lust) and the emergence of supreme love and devotion are impossible without ultimate faith in the Guru's feet. This faith is the catalyst, as without it, the eight sattvic emotions cannot arise, thereby stalling spiritual development.