My 14 week fur baby has been battling this for a month. She started with Clavamox but that didn't help at all so the vet switched it over to Orbax but she had to take both at the same time for a few days. Her cough has improved a little on Orbax but she still has it from time to time specially when she is excited. I was afraid it was a CT also but doc says it's Kennel Cough. She was hospitalized as a result of this. I think that if the cough sounded wet then that would be a bad sign but the cough sounds dry.
I would run the shower and sit with her in the bathroom for a little while. I was told this helps and I think it does. If you have a cool mist humidifier that should work also.
This is what my dog sounds like:
https://www.youtube.com/watch?v=qPTIadFHtz0 https://www.youtube.com/watch?v=B8DxeoI3E28
I hope this helps!