Quote from EJM
That is true except in the case of the lungs. The pulmonary vein carries oxygenated blood from the lungs to the heart.
Actually, the description you quoted is exactly correct. Arteries, whether or not they carry oxygenated blood, carry blood away from the heart. Veins, whether or not they carry oxygenated blood, carry blood to the heart. That is true even in the case of the pulmonary (lungs) circuit.
In the systemic (body) circuit, arteries carry oxygenated blood and veins carry deoxygenated blood. In the pulmonary (lungs) circuit, the arteries carry deoxygenated blood while the veins carry oxygenated blood.
You are correct in your description of what carries oxygenated blood in the pulmonary circuit. You just missed the direction of blood flow and which type of blood vessels carry blood in which direction, even in the pulmonary circuit.