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When making superellipses and superellipsoids with build123d, I have found I get the best results using Bézier curves and surfaces to approximate the shapes. Bézier curves are already supported, but Bézier surfaces were not - at least not without dropping down to OCP.
Here's a sketchy patch based on the code i'm using to construct Bézier surfaces. I have not tried installing build123d from source so I have not properly tested this myself, but I think it's a plausible start.