Cole adjusts himself and shifts his position so that, if she wants to, Shura can lean on him and use him as support. And then, he starts to walk towards her trailer.

"Thoughts fly fast, you say it but you stay silent," Cole murmurs, almost under his breath. "Is your Rin the one in the cookhouse?"

He knows that multiple people can have the same name. He's met two Lamberts, after all. It's best to ask.