Is there a way to CAP this model?

It looks like the top edge curve is a single closed 3D curve. Try splitting it into 2 curves at each end and then use the 2 curves for a Loft or Ruled surface. Iā€™m not sure that will work - but maybe it will. if one or the other does work then Cap should work on the bottom since that looks like a flat 2D curve. Boundary or Patch might work for that one too.

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Maybe loft the 2 top curves.
Post the geometry.

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