Is it ok to run our dog very often on the artificial grass mat?
Yes, it's ok even your dog made a mess on it cause the artificial grass mat is very easy to be cleaned and maintained.
If the grass will receive very heavy use from pets, as it would in a kennels, we can recommend disinfectant which will help remove smells and kill bacteria
Your dog will be sick if they eat it!!
Your dog should be fine because dogs are used to artificial grass just like normal one.
Your dog might be allergic to it depends on the quality of the grass.