Just finished dumping all of my 33 Labyrinth tickets, took 3 days. Sounds like a lot, but I didn't have to reset a single time because the upgrades are that overpowered.
Also, it's nice that they're compensating people who played before the cap was lifted. I blew 1 ticket when I wanted to check if Sakura appears in the Labyrinth, I could've just canceled the run, but I thought might as well finish it. I really thought I'd be 1 ticket behind forever, what a scary thought!