I am departing on Delta for an international flight from Terminal 4 but have a 5 hr layover. My service animal will need the relief area and I'd like to use the one in Terminal 5. Will I have to go through security again to access terminal 5 and then again to get back into 4? Thanks. Any tips on what to do with a puppy for 5 hours in JFK? I can access the USO lounge but also considered the Delta lounge.