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How to loft an X connection between 4 Struts seamless

I am trying to Loft between 4 Profiles and can't get it work in smooth way, whatever i try breaks some constraints (see below) or creates
visible seams instead a smooth surface.

https://cad.onshape.com/documents/da3a8c590dc62827f33a5612/w/97ef208146d4363f51be660c/e/3724355a8d2aec9c863e438a

Constraints:
 - All surfaces must be normal to the sketched egg-shaped ellipses, esp on the ends and the middle (sketch 2) plane
 - The long guiding Ellipse on sketch 5 is not that important, if anyone can help w/o constraining to that
 - The ends shall connect with arcs/radius as defined on sketch 4
 - smooth and seamless
 
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