For those wondering, some of these birds can fly over 5 miles high. From 5 miles above sea level, the distance to horizon is 200 miles. From 5 miles high, you could see the tip of mount Everest above the horizon from 410 miles. Great snipes can fly thousands of miles in one continuous 60-90 hour flight.
> One of the great snipes stayed above 8,000 meters (4.97 miles) for more than five hours one day, rising to a maximum altitude of around 8,700 meters (5.41 miles). This is the highest altitude ever recorded for an identified migratory bird.
At 8km high it's easier to believe that they'd see ~660km away (410mi), although I don't know if weather, pollution or some distortions get in the way.
https://www.inverse.com/science/migratory-birds-flying-ocean
https://www.omnicalculator.com/physics/earth-curvature