Problem to make a helix and spiral curve tangent together

Hello, for a study project I have to make a cam that will drive an axis to allow a kinematics in two movements, a translation on one axis and then another on an axis perpendicular to the previous one. The problem is that I have to make a helix curve and then a spiral curve and assemble them, see the Solidworks file. I therefore have to connect them to each other without defects to achieve a swept material removal. I succeeded, but I get a mediocre result with holidays everywhere, which prevents me from doing my movement properly. So I would like to know if you have an idea to make the two curves tangent to create one.

Thank you in advance for your answers. :)


solution_came_3.0.sldprt

Geometrically, it seems essential to me to have an arc to connect these curves (the helical is in space and the spiral is flat).