Eh, some cat kid? And... Oh no, a fan of Mr. Stark? Not that odd to meet, but hopefully, he's one of the fairly sane ones at least.
"Um hi, citizen. Your friendly neighborhood Spider-Man is uh here to... Well, maybe not help, unless you need help in which case I'd gladly give it! But ya know, kinda needed some myself from uh, Mr. Stark and all."
For a moment, he'd stop talking and simply breath in. Right yes, stay safe...
"Right, staying safe is uh easy. Just have to avoid making people with mad science bunny weapons made from supernatural monsters called Shadows angry."
Seriously, what was that Kalib guy's deal? Seems like a local villain to Peter's guess, but maybe he's wrong... Either way, now seems like a decent time for a speech right?
"Anyway, like you said even if we're in a new world? It's the same stuff as always, isn't it? I've done a little digging, and these guys don't have Ultron but they sure as heck have plenty of danger, Mr. Stark."
He'd pause for a moment, sounding far more sure of himself than he had a few moments ago.
"I get that I'm not exactly the oldest hero, and I don't know the most. But if there's one thing I've learned? It's that I'm not going to just sit by when there are people to help. I know I said I'm not an Avenger, and frankly I don't think I should be one..."
He'd smirk, well there's a bit of a caveat to that little statement in this case.
"Not all the time, somebody has to look out for the little guys. But ya know, if there's nobody left to look after then what's the point? So if the offer's still open, then yeah I wanna be an Avenger, in that we both already know I won't sit out whatever big crisis comes our way next anyways. I won't, no shouldn't. Stop dealing with "The small stuff", but I'm not willing to just try and keep my head down when the earth's being torn apart next time either."
With that, he'd take a deep breath in and look for a seat, sitting down at the bar and seeing what he thinks is a passed out bartender?
"Anyway, when it comes to playing by the rules and keeping safe... I'll do my best sir, but I can't make any promises when lives are on the line."