Balthazar,
I have 2 types of Azatta cloaks. A lesser Az'atta cloak and a Cloak of Az'atta. I am unaware of a cloak titled the 'Greater Cloak of Az'atta', although it is quite possible to exist.
If you wish to purchase a Cloak of Az'atta, the cost is 4,000 coin.
Best regards,
Lillian Dartforth
// Kailua... nice. Waipahu here.