Hi Amberkindness
Yes, you can mention your dog, if it helps you, but be very careful about how you do so. I understand exactly what you're saying, but it's something that can easily be misinterpreted. It's not that your assessor will necessarily think it is trivial, but they could easily think that either your condition is not as severe as you are saying or that you have a solution for your agitation and therefore there is no need to award payments. Emphasis that you don't have any person to support you.
BIS
Nothing on this board constitutes legal advice - always consult a professional about specific problems