Best way to do that (with plugins)

I want to do the following:

• I have a pipe line that does not match the alignment of any axis. It is also inclined.
• I also have a piece (which is a component) and I have inserted it at the right point, the intersection of the previous pipe line with another perpendicular pipe line.
  what is the best way (faster) to rotate the part so that it aligns with the first pipe line, not only in direction but in inclination?
  I have tried three plugins but I must be very clumsy and I can’t get it (curic align, fredo6 MoveAlignMe and orienter express).
  I attach the sketchup file with the initial and the desired state (obtained by rotations with auxiliary planes drawn and deleted later)
  Also some captures with the edges of the color of the axes.
  pipes.skp (348.3 KB)

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