She rolls her eyes, listening to his advice regardless. Adults. Always being overcautious. She very carefully doesn't note the fact that falling to her death would suck and that caution is probably the better route here.

"Um..." She stops once they've closed the gap a little more, looking uncomfortable. "That's. Complicated."

It's not that complicated, not really.

Athena stuffs his badge into her back pocket, backs up a little from the edge just in case, and takes a running leap that may-or-may-not end with her yelping and grabbing on to fistfuls of his flannel as the edge does indeed crumble a little underfoot.