Continuous paneling on trimmed surfaces!

Hello Everyone,

I am pretty new to grasshopper and I am trying to achieve a continuous paneling through trimmed surfaces. I am using lunchbox 's staggered quad panels. The idea is to have something close to the image marked below.(Apologies for the crooked marking)

When I try to panelize it by deconstructing the brep I still get a result like this.

I have tried searching a lot of threads on paneling trimmed surfaces but I am not being able to find a solution that works for me. I would really appreciate any help on this. Thank you.

Here are the Rhino and gh. files.

Panelling trimmed surfaces with Fillet.3dm (752.1 KB) (26.3 KB)