Carrying two adhesive bandages with you doesn’t represent a first aid kit for a dog or you. Pet owners can keep a separate and customized first aid kit for their pet for in case of an injury or emergency. Of course, the type of pet and its lifestyle determines how extensive the first aid kit needs to be.
Source: Puppies and Pooches, November 29, 2021. Link.
Also see: The AVMA offers a helpful first aid brochure in addition to guidance on the basics of first aid for pets on the website.