Repetition is the key. The sum of those small talks makes a friendship. If you’re nervous, practice your small talk in a mirror, but make sure you keep it up. Talking about the weekend you just had or the one you’re about to have is always an easy convo.

depending on your vibe, literally saying that could work

Generally speaking, if they’re receptive to friendship, simply stating that you want to be their friend is the quick and hard way to break the ice. That probably will tell you what you need to know about that being a possibility.

Of course, if things were that simple it wouldn’t be an issue. The problem anyone here is going to have is a distinct lack of context into the life which you are leading, the setting in which you find yourself thinking that this other people is premium friend material, or your general societal/social group pressures.

As for the usual method that some people use to make friends, the main one that tends to work quite well is to share some kind of hobby/passion/time sink. From that I’ve seen in your previous posts, I’ve put together some semblance of an understanding on kind of where you are in life right around now. I don’t know the reason for changing schools, but I’m hoping it wasn’t based on trauma.

I don’t know your situation, and I’m really not trying to. The first thing I would do to work towards a friend is to check with your school for clubs or afterschool activities that will put you with people who are roughly interested in the same kind of things and work from there. Based on what little I skimmed through in your previous posts, a computer club, or something involving music, whether that’s a band or just “music appreciation”. That’s of course, assuming that you have the ability to do things after school and don’t have restrictions on your time what would otherwise change that.

You go to her and say: «  hey you look friendly «… and you take it from there.