That’s pretty close, actually. The only thing is the line
I’ll prove it to you somehow
I’m done with every bit (I think EC messed up a word, since she’s rhyming w/” s***” two lines later.)
Also, I’ve never been sure on the chorus whether she’s saying “ride things out” or “write things out”, although either one would work, just mean different things.
Other than that, I’m pretty sure you’re dead-on with the lyrics. I love that song, and find myself listening to it when I need a pick-me-up.