Blake would keep on following behind them... Only to see the idiots break out into violence among each other, geez team RWBY looks amazingly good by this point... Despite herself, Blake steps out from shadows and looks them over.
"Okay, what is wrong with you people? Trying to attack each other, wasting time bickering, god only knows what else? Which one of you even calls themself the leader here, as far as I can tell it's some weird anarchy that you just hope works out."
She'd then focus on Batter, her eyes narrowing as she looks at the violent lunatic.
"As for you? What kind of idiot are you, attacking things which are seemingly no threat just for looking a bit odd is a quick way to waste time and effort, not to mention how wrong it is..."
Then there's Rep, despite the fact he was seemingly trying to help, attacking outright isn't the correct response.
"And as for you, think before you strike next time. I understand that you don't want him attacking at random, but you should at least bother to try and talk before resorting to violence, aren't you people some kind of team?"
With that, she'd begin walking after Ina, a curious look on the woman's face as she goes deeper into the building... And spares a few words to her new allies.
"And sorry about all that, just felt the need to say it. Blake Belladonna, nice to meet you guys I'm sure."