Hunter's pet abilities priority

I recently got the Hinterlands Eagle at lvl 36 with Screech 3 and the little bird is really good at holding aggro. With all the focus generation it gets from BM talent tree however, I wanted to also teach him claw to dump extra focus on damage.

So I did that (he finally dinged lvl 3 loyalty and I got training points), but now my pet uses growl once, screech once, then he keeps spamming claw, which I don't want.

QUESTION: How does game determine what ability the pet uses when they're all on auto-mode? How can I influence that?

I have growl=>screech=>claw on the pet's bar in that order left=>right. I tried changing that but it didn't help. I also understand that if he was focus starved, he would prirotize ANY spell he has focus for when it ticks. But in this case, claw is the most expensive ability with 25focus, while screech costs 20 and growl 10. So in my understanding, it shouldn't spam claw, yet it keeps happening.

Any ideas? Thanks!