I have drawn another idea by iPad in a sketch book application. I wanted to simplify the illustration of a hen.

and here is result in photoshop. The last idea was to frame the head. My idea was to use a shape of egg for the frame.

here are visualizations:
As I made a visualization of the last idea some new improvement came to my mind. The name of the restaurant could be connected to the shape of the egg and I think it looks good.

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