Just fucked up a job interview by stuttering. I have another interview coming up.

Just fucked up a job interview by stuttering. I have another interview coming up. Hey Everyone, So this is my first time reaching out to any community about my problem. I'm actually surprised one exists on reddit. Anyways, I usually don't stutter and it happens very rarely. But when it does happen its like I hit a brick wall. I know what I want to say but I can't say it. I bring this up because I was just in a job interview for a policy analyst position in government. It is my dream job and in a department that i've always wanted to work in. Honestly, most of the interview went well. I got through most of the questions and they said I only had two left. Then, it hit me. It started with me just tripping over words. Then, I was unable to say much even though I knew what I wanted to say. So, I was embarassed and apologized for stuttering. They said it was fine and I worked through the last question by writing down I what I wanted to say while then reading it off. This was really embarassing but they kept saying it was fine and it wouldn't effect much. I'm not really sure though since this job is pretty high level and requires a lot of responsibility. So I don't know if it was just lip service or if it really won't affect anything. Anyways, this was the first of two interviews. If I somehow pass this stage I still have another interview which is more technical. I am worried that this will come up even though it has never happened during an interview... I'm not really sure what the purpose of this post was but I just wanted to share this with people who can understand.