How to create a project snippet?

I can see docs on using the api to create, get, etc snippets for a project.
But using the GUI, I can only see how to create a personal snippet, where I can set the visibility. But I can not create a project snippet.
Also, is a project snippet only visible to project members?
The docs at https://docs.gitlab.com/ee/user/snippets.html refer to https://docs.gitlab.com/ee/user/project/index.html#project-39-s-features which refers to https://docs.gitlab.com/ee/user/snippets.html so somewhat circular.

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