Under the right circumstances, a black bear can kill a man (or a dog) with a single swat of its paw. While most back bears are timid and afraid of humans, due to 10,000 years of being hunted by Native Americans with bows, a few, a very few, have been know to kill and eat humans.
There is a reason why the writers guide for The Outer Limits said that each episode needed to have a dangerous creature or other frightening danger and described that as "the bear" instead of the wolf, the mountain lion, the wolverine, the fox, etc. etc.
You should want to do everything you can to avoid becoming the victim of one of those very rare aggressive black bears, and a good person should want to do everything he possibly could to keep black bears from associating humans with food, possibly leading to some black bears preying on humans.
If I cared for my dogs, I would take all possible bear precautions. One bear vs one dog is likely to be ten to one odds in favor of the bear, to use an arbitrary number. Two dogs vs one bear would then be five to one odds in favor of the bear.
That is not good odds. Avoid bear fights and avoid events that could result in bear fights.
You yourself, without any dogs, might be able to scare way a bear without a fight. So you and the two dogs might be able to scare way a bear without a fight.
But if it comes to a fight, you and/or one or both of your dogs could be killed or badly wounded.
So if you love yourself, you will take all reasonable precautions to avoid interacting with potentially extremely dangerous wild bears. And if you also love your dogs, you won't count on them to be your bodyguards against bears, but will take all reasonable precautions to avoid interacting with potentially extremely dangerous wild bears.
Avoid bear confrontations.