If your dog is small enough, put the pet in the store push basket I do that at every store that has a basket, no one stop me yet
I believe they do allow support animals. I believe Costco reserves the right to ascertain if an animal is considered a certified support animal. Bring certification just in case I say. There are some additional details in the following link for Costco Customer Service https://customerservice.costco.com/app/answers/detail/a_id/713/~/are-service-animals-allowed-in-costco-warehouses%3F
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