Would you give a new friend a second chance?

I work with this guy who I recently became friends with. We hung out once outside of work, and we text every now and then.

I told him something that I specifically told him not to repeat. It wasn’t an earth-shattering thing, but it was something I needed to tell someone else we work with, and on my time. He swore up and down.

Then when I finally talked to the person I confided in new friend about, she told me that he’d already told her.

So I texted him and ripped him for it, and he said he didn’t realize he wasn’t supposed to say anything and he feels utterly horrible and he forgot I asked him not to say anything, blah blah, the whole 9.

Today was the first time I saw him since, and I wouldn’t look at him, told him I was pissed, told him that when someone betrays me like that, I’m done. That’s one of the few things you don’t screw with me about.

He’s such a new friend though, I wonder if I should give him another chance because maybe it was a fluke. I also wonder if maybe, as a new friend, I SHOULDN’T give him another chance because I learned early on that he can’t be trusted.

I’m a little torn… what would you do?