I have a flight (ICN-ATL) bought on delta.com and ticketed with #006, but it's operated by Korean Air. When I get to the Incheon airport, do I check in at the Delta or Korean Air counter? I actually called Delta to find out and the phone rep said "I think you checkin with Delta." She didn't sound that confident though. Anybody familiar with this setup know which checkin counter I need to go to?