Hi Nina,
That is a new prayer, recently written by His Eminence Yongdzin Tenzin Namdak Rinpoche for our teacher, Latri Nyima Dakpa Rinpoche.
It sounds like we need to do a new recording with that prayer. I will see if we can do this soon.
For now, just know that it follows the same melody as the previous three prayers (for His Holiness the 33rd, His Holiness the 34th, and His Eminence).
Best,
Nick