I am currently replacing the AOS, which, by the way, is a pain. There is nothing "difficult" about this job (I have experience doing almost all maintenance on previous cars), but that bottom hose is a huge pain to get off the canister, and I can actually get my hands on it.
Onto the broken line: I noticed that the line, which appears to have some sort of wire in it, is broken. I'm sure someone here knows what this line is, and whether I have just added cost and time to my AOS replacement. I've put red arrows pointing to the line below. Just so everyone is oriented, this is taken from the passenger side rear of the engine bay, with the AOS visible on the right side of these photos.