"...that was a joke. That's literally impossible."

"So is conjuring and telekinetically controlling ice but you don't see me raining on your parade about it."

"—no, you don't understand—"

"You should meet up with your tracker, Tae-gun. It's not good manners to wait until you're inside to introduce yourself."

...ugh. He should.

"You're right," he says with a defeated sigh.

"There there, sunbae."

"There there, sunbae."

Grumble grumble fine he'll go do that.

The tracker Tae-gun will be working with has a minor precognitive power coupled with superspeed. It allows them to guess where they could run to that would achieve their goals, and they can use it in bursts to give directions for immediate places to run.

Useful.

Meanwhile Tae-gun can keep up a cloud of ice crystals some distance around his body, effectively giving him extra disposable limbs he can track that will inform him of whether going in a given direction will be a problem. He can also conjure extremely dense ice that's effectively unbreakable for as long as it's in his range and merely very hard to break when outside it, stuck to the ground, to serve as breadcrumbs. Coupled with his high combat capabilities makes him one of the safest people to be around in this dungeon.

The field espers are also given numerous relays and repeaters to leave places so that the comms don't get cut off by too many unexpected corners. Those are small drones with limited vision and AI meant to try to keep them safely out of reach of monsters.

Woo-young meanwhile is getting a crash course on how to understand non-Euclidean dungeons, hard mode. He's absolutely certain every other such dungeon will be a walk in the park after this bullshit.

But it's in any event not really a very stressful dungeon. They go out, they find people, they give them teleport tags, Woo-young or some other teleporter gets them out. Tae-gun is glad to be useful but he doesn't feel very useful, which itself of course makes him feel terribly guilty. It's better not worse when dungeons aren't horribly dangerous to everyone!

Since there's no expectation of clearing the dungeon at all, they're just meant to spend some time in it and then leave, as their backlashes are the constraining factor.

Tae-gun's backlash control and tolerance are both exceptional so he's still feeling fine by then but the tracker coming with him clearly isn't so back to the portal they go. 

(They didn't even get to kill any monsters.)