Fixed my chirps 100%. Solution is in my avatar.
Wish you all the best, I hope Toyota comes through with some solution. I've driven other cars and know a handful of people with DI pumps, none of them chirp like the Toybaru does. Sad to say but I'd bet fenrir is correct, probably no fix, at least not a retroactive one for 2013 models. May see something in 2014 or 2015 models.