Transferring with my dog from an international to a domestic flight at Haneda Airport

I’ll be arriving at Haneda on an international flight with my dog and then connecting to a domestic ANA flight. I have an approved advance notice for her at Haneda. The layover is 1 hour and 45 minutes. Is that enough time for the connection, and will ANA handle the transfer of my dog to the domestic flight since it’s the same airline?

I appreciate any and help or recommendations.