How to select edges to create a new shape

I want to extrude this face but when I try it auto selects either the circles or the edge of the square. Is there a way to create the highlighted area as a new shape?

In my opinion, the shape is not closed.

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The edges must be closed loop to extrude into a shape.

The sketch elements that create a face will change color to a light blue to show you they are closed.