Extruding surface issue

Hello,

We have a modified surface that we would like to add consistent thickness to. We have tried extruding it upwards but it makes some parts too thin. We have also tried offsetsrf command however it messes up some parts.

Is there any way we can add thickness to this shape and possibly adjust the thickness in some parts?
surface.3dm (263.7 KB)

You can achieve it with _OffsetSrf _Loose. As a tip, make sure to adjust the control points near the corner first.