"I mean, that version of me is me, but just a different version of me, right?" He's sure somewhere out there, there's a Peter who wasn't bitten by a radioactive spider, but given that Kitty says that she worked with other-Peter before, it's probably safe to assume that he still had powers. Maybe not exactly the same, but some sort of powers.

When Kitty says that he tends to stay local, it makes total sense to Peter. He'd told Mr. Stark he wanted to stick around to Brooklyn for the time being not too long before showing up here. Maybe he'd be ready to be international like Kitty sometime, but that time wasn't now.

Peter idly drums his fingers on the table in what might have looked like an attempt to pantomime the quick movements of a spider with a little more effort.

"So," he says, letting the word hang in the air for a moment. "I guess you probably know about the suit and my powers."

Then the realization sets in:

"You're the third person to know," he says, as if just realizing it for the first time himself. "I mean, minus Mr. Stark and the rest of the Avengers, but they don't really count." Not really, though he can't say what makes them knowing different from Kitty knowing. "Ned knows, but he's my best friend. And my Aunt May found out shortly before I wound up here."