Add a rotary axis B on a lathe

Hello to all,
Is it possible to add a B rotary axis on a lathe (I think the axes would be XZC) and configure a post-processor in fusion360?

Thank you for your help

I guess it kind of depends what that B axis actually does. How would that axis interact with the XZ and or the spindle?

The spindle will be on the B axis.

here is a sketch

So is C a spindle and an axis as in a lathe with a spindle that can be positioned or is the B the only spindle and the C just a rotary axis? To me this looks more like a 4 axis XYZA milling setup with a rotary axis A and without the linear Y axis.

The C just a rotary axis and B the only spindle.