Welp, I just got trolled hard. Thought the way you were supposed to escape was via the teleporter taking you up to the center, then running from there. Definitely would logically be the quickest route, instead, I guess you have to make the long trek going to the left? What's even the best route to take, as I really don't think I have the knowhow to get there in any sort of decent time, much less a 1 minute and a half.
Edit: Nevermind, managed to get it with about 20 seconds to spare ultimately. Though, make sure to stock up on plenty of mana potions for the trip. I pretty much just spammed the speed run/screw attack/shield and got out of there as fast as I could. Could be done better then I did though for sure, considering just how many little ledges I bumped into on the way, and got hit a few times here and there. Timer definitely makes it panic inducing when you suddenly see it for the first time. xD