I suggest that for future endgame related content be it Coil, Levi EX, Moogle, w/e.

Include a Challenge Log type of mechanic, but add things like "Beat it in under 10 minutes etc.) "Beat it with no deaths"

Make these challenges prereqs for possibly removing the weekly lockout on content.

So for example, if a team can beat T6 with no deaths, in X amount of time, they are allowed to do it X amount more times this week.