You have to help the beasts in the alleys, find out there are other summit attire exist in the skrilzi's square, win each clutchmates at least once and help them equip the armor correctly.
Have you go back to the arena and talk to clutchmates one more time after that? There should be no precedence. But if you ask me,
In day 5, you can go to beasts alleys to help first, then go to skrilzi's square listen to the rumor about other summit attire and help the skrilzi, then go to exercise with two out of three clutchmates (changing opponent after the first match still count).
In day 6, go to skrilzi's square, you should able to find the clutchmates and help them rearrange the armor correction, then go to the arena and exercise with the last clutchmates.
In day 7, go to the arena again, this time Matagoffee should have something special to tell you.