"I know what her name is." There's a clipped tone present that wasn't there earlier. "Simple concept. Vigilantes and metahumans get together, form a group to patrol the world. Keep an eye on each other. If someone needs help, they get it."
Except Gotham. That's his, and he's been at it longer than any of the others.
"Think it over. Let Oliver know if you want in or not, and he'll tell me."
Her crack about sleep is ignored. He doesn't know her that well (at all, really), and it'll take time before Bruce is comfortable with advice from people not privy to his personal affairs.