This is what I was talking about:
Maybe you would get a more accurate file if you trace it yourself instead of using the live tracer tool, but it would take more time. When you have such a small character, the differences between the original and the copy are minimal. Even in larger pieces, this kind of differences are almost negligible unless you put the original one next to the copy.
In the end, it's a matter of how precise you want to be without becoming you crazy during the design process.
Attached to this message you have the vector file if you want to use it