Uncover the dots' secret!
Then enter the password in the egg-o-matic below. Uppercase only, and no spaces!
Dots were the mask for reading letters from the corresponding grid positions, but it was not complete. So the first step was to complete the mask in the lower-right quadrant. After inspecting positions of dots I noticed that none of them shared the same position inside the quadrant. Therefore I supposed that the missing dots have the same property and put dots on the positions which were left unoccupied. That gave me this mask.
Then I applied all four possible rotation of the mask in anti-clockwise order and read letters row by row in each rotation.
That gave me:
HELLO BUCK THE PASSWORD IS WHITE CHOCOLATE