Any bets on how long Bruce Wayne takes to figure out exactly who Clarke Kent really is? And vice versa?
Probably depends on who meets who first, right?
Bruce would recognize Clark as Superman.
Superman would recognize Batman as Bruce.
Superman and Bruce would be pretty neutral unless Bruce has seen pictures of Clark before.
And of course Clark and Batman would recognize each other.
Hoe does it usually go in the comics?
Depends. Is Batman's cowl lined with lead?