First off, there were no grey objects, so that was confusing.
Instead of a Copy In Place followed by a Quick Pull, I used Extract Entity / Extract face from body (after setting Options / Space / Precision to 10 as suggested by Tim).
The result (on layer New Object) looks like it meets your requirements, but there's a problem.
Your name for this file (Inlet Valve) indicates the Cylinder, Loft and New Object are going to be hollow. Oddly, New Object cannot be 3D Added to the other pieces. Trying to Quick Pull the flat surface of New Object requires layer x1 be visible (there's a prior version of the one on New Object there), even though the Quick Pull is being applied to an object on another layer.
Even after making layer x1 visible, Quick Pull fails (probably because of the zero-width sides resulting from the 3D Intersect. Shell Solid won't work on it (you could draw a Polyline around the edges of New Object's flat surface, then use Offset to the preferred shell thickness and then
I doubt you are going to get what you want from this collection of objects.
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