PATTERN - Surface Split by Curves returns no result

hi I’m new to GH and I am having an issue in Grasshopper while trying to split a surface using curves.

I am using a Surface Split component to cut a surface with multiple curves that visually intersect the surface in Rhino. However, the component returns an error (red) and no fragments are produced.
Is it possible to convert these pattern curves directly into a mesh (instead of splitting a surface first), similar to the pattern mesh shown in my example file?
Any help, explanation, or example file would be greatly appreciated.

Thank you very much!

pattern.gh (32.5 KB)

pattern sample.3dm (7.9 MB)

Check the projected curves.

I adjusted the base frame and made a few small changes.

pattern_a.gh (61.9 KB)

To avoid having broken elements.

pattern_b.gh (66.7 KB)