Did you already get our new pet Parrot?
If not, check your tasks on the left - you need to finish the "Changeable Wind" quest. It is available for the players from level 5.
When you finish all 5 stages of the Parrot's tasks, you will need to catch the bird to feed it - you need to click on the place right below the flying bird (you'll see a white square on the ground).
Please remember that this works the same for all the flying pets (Parrot, Dove) - if you want to get the bonus from them, you'll have to click on the ground where they fly.