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Hello. Thanks for the question.
I would not say any ocular discharge is normal. It is more commonly seen in dogs with entropion where the eyelids turn in. St Bernard's are a breed where this is common. That leads to rubbing on the cornea and tearing/ discharge is the result.
If this is the cause, then the eyelid should be surgically corrected so that it doesn't turn into the eye. This will resolve any irritation and excessive discharge. Most regular vets will do this surgery, but many will go see an ophthalmologist to give the best chance of a successful surgery on the first attempt.
Here is a nice handout on the condition:
I hope this helps, let me know if you have any other questions.