Help with ending a friendship

I reached out to this girl I was friends with to give her a sense of closure and because I wanted to express how I feel about the way our friendship was handled. When I was taking my break I stood on I just don’t want to be her friend anymore and after this conversation I realized I still don’t. But I have opened up a conversation and it would seem wrong to just all of a sudden say nvm I don’t want to be friends. I want to say I take full responsibility for reaching out to her. This could have all been avoided if I didn’t act on impulse but now I don’t know what to do