It didn’t take me more than 10 attempts to get Tugar down, and the worm was down the first time I made it to phase 2. Of course, being ilvl 930+ probably eased the process. The two components that remained challenging were the mobility and the interrupts (Tugar could one shot your pet).
With the help of the WA string provided in this Wowhead guide, interrupting Tugar wasn’t a problem anymore.
I’m very happy to be done with this challenge as I really didn’t enjoy it. I normally enjoy solo content like the Brawler’s guild but the Mage Tower was more about resisting the frustration than really playing my class.