The protagonist was not actually a troubled teen, I think her stepfather intentionally sent her away because she had discovered something that could ruin his career.
I think the facility might have been girls-only, but I'm not certain.
There were multiple escape attempts, such as one during her kidnapping in the middle of the night, one through calling her birth father with a confiscated cell phone, and the final escape involved setting the facility on fire and escaping through some kind of Shawshank-esque drainage pipe.
I read this book in what had to be the mid-2010s, at my school library or something, but I remember none of the visual details or even part of the title.
Smaller details I remember: the facility had multiple 'levels' for its inhabitants, where you'd be able to leave once you reach a certain level, but the rules were surely rigged against you. The protagonist was vegan.
Even with that many details I can't seem to find a proper match; Gone for Good by Sarah Crossan sounds extremely similar but that was only published this year.