same argument as always. If you’re doing this for a diet and your goal is to lose weight by cutting calories and this helps you not eat, you’re probably fine.
If you’re into it, and you’re using this as a discipline to live your life by, that gum also has to go. You don’t want to be taking in sweeteners that may cause insulin response and you’re going to spend the day producing and swallowing your own saliva. A more pure purist wants to do everything they can to keep those machines, the digestion ones, completely off.
Gum is a workaround, but if it’s helping, do it. Later, you may be looking for things to stop doing to boost your plan, and this is one.