You didn't need the Sword of Omens to tell what happens when a ThunderCat is "on the loose" near an extremely climbable tree in a park full of dogs.
Poor Lion-O is stuck and yet too proud to descend in the arms of firemen. So, what's his solution? Nothing.
Say what you will about He-Man's questionable fashion choices and friend-zone relationship with the gorgeous Teela, but at least he knows how to get down from a tree.