I have been looking into getting to the Belmont Hotel. It is only walkable from terminal 3. If your airline arrives at another terminal, you need to take a taxi (which are notorious for tourist rip offs) or "Grab" (like Uber) or Belmont's transport (which seems pretty expensive). It appears that the airport shuttle which goes from terminal to terminal is only for connecting flights and they ask for a ticket as proof. Does anyone have any other insight into this? Here is part of the email from Belmont.