Hi Gunter, one thing that might help is to start out not trying to incorporate the upwards bend, make it all flattened to start with and then use Transform > Deform > Flow to apply the bend.
It will be hard to control the shape by both the given cross section and trying to use the outline with a sweep, and it also increases difficulty a bit with the outline having a sharp point in the upper corner. One approach could be to focus on just using cross sections with Loft using the Loft style = "loose" option. That would be a loft through something like this:
Then adjust the profile curves to manipulate the shape to make it similar to your outline path rather than trying to build a surface directly using the outline and the cross section within a single tool.
I'm still not entirely sure which pieces you want rounded and which should be sharp since there are some sharp corners in both your cross section and your path outlines, if you have any images of the result you're looking for that might help to give better advice. Like maybe it would be better doing the loft in a different direction.
- Michael
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