DNA paternity test

I was hooking up with this guy for a while and he has a vasectomy, so we weren’t using protection, I cut it off with him and have sex with another guy a day after. (Yea I’m a hoe I don’t care for judgement) we are using condoms but that first time the condom broke. I don’t take plan b because I get really sick from it and I throw it up anyways.

Now my period is a week late, And i tested positive on a pregnancy test. I’m so nervous and scared, I won’t know which one is the dad because vasectomies can fail. I’ll be happy to be a mom and both of them are great guys but I don’t know what to tell either guy it is embarrassing...

But my question is how soon could I get a dna test while I’m pregnant?

I know it’s kinda risky but I have to know and it wouldn’t be fair to them if they don’t know