How do I interact with a stutterer I recently met/dating? Please read & advise, I am at a loss.

How do I interact with a stutterer I recently met/dating? Please read & advise, I am at a loss. There’s this guy I went on two dates with. He’s handsome, has a nice voice, a decent career. he has a very pronounced stutter to the point where it sometimes takes quadruple the time to get a sentence out and by then the flow is gone. It is usually one word he gets stuck on and then it’s just silence and sometimes he gets the word out after a few tries, sometimes not. We are missing the banter and ability to vibe /connect conversationally, and most importantly I don’t feel we share a sense of humor. But is this possibly because of the stutter throwing a wrench in the conversation, or because we just have personalities on different wavelengths?? I’m aware that could just be because he’s mentally so channeled into focusing on how he’s speaking, that he’s not really relaxing/reacting to the funny subjects? Or perhaps he just doesn’t think I am funny. I don’t know enough about speech impediments to know what to do. Do I ask him about it? Do I pretend not to notice? I would think if he wanted to tell me about it he would bring it up himself, right? Do you notice your stutter gets worse in the early stages of dating? Is this something that might get better with time? I apologize if I said something offensive, I’m just not sure what to do and don’t want to upset him by doing the wrong thing.