Lerp onto splines in OnClick updating

Hi everyone, I have created objects that rotate between them by swapping their position clockwise or counterclockwise with the Vector3.Lerp method. My aim was to operate the rotation through a Button How do I make the entire rotation run by lerping my objects?

• I use two distinct functions without Update

this is the source

 D - E - F     // With this box i created the sequences to form a curve with the Lerp method
 |       |        My objects are found in the centers and not at the corners so are ( A , C , E , G)
 C       G        but don't get confused the objects are named like that       C
 |       |                                                                   B   D
 B - A - I                                                                     A
                                                     

 public void RotateClock()
     {
         interpolateAmount = (interpolateAmount + Time.deltaTime) % 1f;
 
         //  A-B  //
         pointAB.position = Vector3.Lerp(pointA.position, pointB.position, interpolateAmount);
         pointBC.position = Vector3.Lerp(pointB.position, pointC.position, interpolateAmount);
         
         playerA.position = Vector3.Lerp(pointAB.position, pointBC.position, interpolateAmount);
 
 }