No need to mentioned the title in the log line also no need to mention the genre, ideally the genre will be evident in a good logline.
Choosing is not action.
Action is what is done after choosing between the lesser of two evils and action defines your character.
If the Prince (presumably now king) wants the girl she is his goal, end of act 3 they run into each others arms (in slow mo), kiss and doves fly over head. How he gets to that result is what will make the story an interesting one.
However, if he wants the throne he just needs to take it, no dilemma in this case. Best to create an obstacle stopping him from getting the throne, end of act 3 he stands victoriously on the balcony of the palace, his adoring people cheer on their one true king and doves fly over head... How he gets to that result is what will make the story an interesting one.
Hoe this helps.