@Ertunç-Çakar
The moon phase is shown in the local forecast panel, only during the night. But it is enough to know the moon phase during the complete day.

7CFA430F-ADE2-45F7-9A32-F0D9DE00C1E8.jpeg

In Windy website plugins you can also look at the Sun position plugin

492FF137-5890-497E-BCD3-843619528D37.jpeg