That just about covers it. Two things to add(possible spoilers):
(SPOILER)
- You can get Mog(through the Lone Wolf part mentioned above) anytime after the multi-party battle in Narshe until you finish the Floating Continent(and start the WOR).

- Also, you can only get Mog's water dance in the WOB, you have to make the loop through the Lete River, then go through the Veldt to the Serpent's Trench(where you learn the water dance) then take the ferry to South Figaro, then run through the Returner's Hideout to get back to the Lete River again.


Hope this helped