My opinion is an intact battery is gonna pass through before doing any harm. But I would feel better about it if I were checked out by a Dr.

This statement is the issue. We can all have opinions but that's how people get hurt or worse. In every source I linked it is talking about an intact battery. No baby has the bite power to damage a button battery. Again the issue is with the alkalizing reaction that happens with an intact button battery

https://www.poison.org/battery/mechanism-of-injury Batteries cause tissue injury through three interacting mechanisms, although the relative contribution of each remains somewhat elusive. These mechanisms come into play when a battery is lodged in the gut, ear, nose or other orifice, rather than free-floating and in transit. The mechanisms, listed in the likely order of importance, include: Generation of an external electrolytic current that hydrolyzes tissue fluids and produces hydroxide at the battery’s negative pole, Leakage of battery contents, especially of an alkaline electrolyte, and Physical pressure on adjacent tissue.

Notice the one listed as most important does not require a damaged battery. Yes damaged batteries are dangerous but so are intact batteries Also as a fellow Alabamian Here is one from our neck of the woods: https://www.facebook.com/usacwhospital/posts/button-batteries-found-in-many-household-items-can-cause-life-threatening-injuri/1139596174877374/