What's the right words to disclose I have a stutter to the work manager?

What's the right words to disclose I have a stutter to the work manager? Hi all! So for a long time, I've always wanted to do far more to put myself out there even if I do have a stutter. With my excellent speech therapist, he had told me I'm far more important than my stutter that stutterers can be capable of any job if they put their heart and soul into it that if anybody has a problem that they stutter then it's their problem alone. Taking upon his encouragement, I found this job advert online to be a waitress. So I get in touch and when the manager gave me his number that he'd like to give me a call to discuss further so of course I could feel the adrenaline pumping all over my body as if it's a life or death situation. I did stutter here and there but despite this, he told me he can tell I sound quite confident and eager to start working as I still laughed and smiled over the phone to hide away my stutter. He sounded friendly and tells me to pop by next week so we can chat further if this role could be for me. Now I'm left feeling rather agitated and wondering that when I meet him in person, how can I exactly tell him or even persuade him to give me a chance regardless of my stutter as he mentioned on the phone of wanting someone with "excellent communication skills"? I saw this video by WWYD on this waiter stuttering but he still did his job and people defended him that he's allowed to be given an equal chance that he's competent and I know I can be competent too surely. What are ways I can get him to understand? I honestly hope it's not a deal breaker to him and I know i shouldn't be angry if he does reject me of having major concerns on how I'll talk to customers smoothly. Any advice would be much appreciated!