In this question I asked how to deform an object with an spline using animation nodes. The technique explained there the deformation considers all 3 dimensions tilting the output object, but what if I want to deform this object locking the tilt as if it was done with a 2D spline but still deform in a 3d space?, exactly as it is done here.

In this question I asked how to deform an object with an spline using animation nodes. The technique explained there the deformation considers all 3 dimensions tilting the output object, but what if I want to deform this object locking the tilt as if it was done with a 2D spline but still deform in a 3d space?, exactly as it is done here.

EDIT

Using @Omar Ahmad answer I managed to get the results I needed. but I'm still a little bit confused. The following image shows the resulting graph:

I'm not quite sure if the new computed normal is correctly linked as in order to get the desired results I was forced to increment its Z value up to 1000.