Fable's mood is getting imbalanced this winter again.

That being said, I'm going in to the store today to buy some chicken livers for him since it seems that's one of the number one foods you can pick up from the grocery store with taurine in it according to UC Davis studies. I want to feed him the whole container, lol.
I want to avoid giving supplements if I can and just stick to regular food that contains it. My question is, is it possible for him to overdose on taurine? Especially if I'm not giving him anything artificial?
Thanks. I don't want to go through a winter like before. I feel bad for him. He is just too fluffy for his own good, and I think it has a bad effect on his health this time of year. I noticed a few days ago he started getting like this, and today it felt just like before--able to be with him for about ten minutes before the aggressiveness starts to kick in. I may have to separate him from Ifrit for a while until he calms down. I don't want him to hurt her.