It is a little inconvenient when you have a physical body and no airlift, but whether Damien instructs him to or not, all Lambert sees in front of him is another obstacle to his goal.

Not that it slows him down from running at it -- he grips the sword two-handed, bringing it swinging around in a sharp, horizontal slice. The fire gathered around his hands seems to bend and extend somehow, flaring bright, and a good chunk of the wall on the side Lambert's approaching half-shatters, half-melts, finding the cracks Gongenzaka's already formed in the ice and more or less blasting it apart. Some shards of ice might also unfortunately catch a few allies as well as enemies, but that's what just an inevitable consequence of wielding reality-warping power and powered by an Earth Spirit's urgency to undo the Severing, but not the way the Winter Court is doing it.

He's pretty much bleeding freely from his nose and his ears right now, but hey, it's not like he needed to listen to anything, least of all the sudden fire roaring in from some unknown source! He leaps over the icy debris and keeps charging forward, his eyes fixed on the pillar as his destination.