Dog Coughing/choking/snorting, White Thick Mucous, Nose Discharge What Could This Be?

It has allergies same as my dog,it will pass in about a week.

You should see your vet as that can also be signs of an upper respiratory infection, pneumonia, heart problems, an issue with trachea or esophagus or many other things as well. Nasal discharge is always a warning sign as most dogs and cats do not show allergies in the same way we do and that isn't a common symptom of allergies in our pets though it does happen on occasion. Our dogs most often show allergies with ear and skin infections/rashes and paw licking and chewing and things like that. It sounds like your pup most likely needs treatment and antibiotics. Hope your pup is feeling better very soon.

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I wouldn't be quick with saying allergies....
I could also be kennel cough I would take the dog to the vet for a check and confirm what it is.