I might rethink the bully stick, for a dog that has a sensitive stomach….you do know what body part it comes from, right? Greasy, fatty and treated with who knows what. Just saying.
I would give no treats to a dog that was having frequent bowel movements. A healthy dog usually has one or 2 bms a day, in my experience.
I give my senior dog 4 small meals per day, he’s bored and has a little dementia going on, sometimes he goes to the fridg and barks at it? If I ignore him he goes back to his dog bed and naps till the next meal time.
