Lerp between point on LineRenderer

Question

Im stuck on how to lerp between points of the linerenderer which are added on runtime. It should animate in order. So IEnumerator should be used i guess.

  private void makeLine(Transform finalPoint)
    {
        if(lastPoints == null)
        {
            lastPoints = finalPoint;
            points.Add(lastPoints);
        }
        else
        {
            points.Add(finalPoint);
            lr.enabled = true;
            SetupLine();
        }
    }


    private void SetupLine()
    {

        int pointLength = points.Count;
        lr.positionCount = pointLength;

        for (int i = 0; i < pointLength; i++)
        {
            lr.SetPosition(i, points[i].position);
            // StartCoroutine(AnimateLine());
        }
    }

I found a code example. But now sure how to implement it so it would fit the code above:

    private IEnumerator AnimateLine()
    {
        //coroutinIsDone = false;
        float segmentDuration = animationDuration / points.Count;
        for (int i = 0; i < points.Count - 1; i++)
        {
            float startTime = Time.time;

            Vector3 startPosition = points[i].position;
            Vector3 endPosition = points[i + 1].position;

            Vector3 pos = startPosition;
            while (pos != endPosition)
            {
                float t = (Time.time - startTime) / segmentDuration;
                pos = Vector3.Lerp(startPosition, endPosition, t);

                for (int j = i + 1; j < points.Count; j++)
                    lr.SetPosition(j, pos);

                yield return null;
                
            }
        }
    }