Bezier Curve Line Renderer for Unity, credit goes to World of Zero: https://www.youtube.com/watch?v=tgCFzoG_BJM

BezierCurve3PointLineRenderer.cs

using System.Collections.Generic;
using UnityEngine;

/// <summary>
/// Bezier Curve Line Renderer for Unity, credit goes to World of Zero: https://www.youtube.com/watch?v=tgCFzoG_BJM
/// </summary>

[ExecuteInEditMode]
public class BezierCurve3PointLineRenderer : MonoBehaviour
{
    public Transform point1;
    public Transform point2;
    public Transform point3;
    public LineRenderer lineRenderer;
    public int vertexCount = 12;

    void Update()
    {
        var pointList = new List<Vector3>();
        for (float ratio = 0; ratio <= 1; ratio += 1.0f / vertexCount)
        {
            var tangentLineVertex1 = Vector3.Lerp(point1.position, point2.position, ratio);
            var tangentLineVertex2 = Vector3.Lerp(point2.position, point3.position, ratio);
            var bezierpoint = Vector3.Lerp(tangentLineVertex1, tangentLineVertex2, ratio);
            pointList.Add(bezierpoint);
        }
        lineRenderer.positionCount = pointList.Count;
        lineRenderer.SetPositions(pointList.ToArray());
    }

    private void OnDrawGizmos()
    {
        Gizmos.color = Color.green;
        Gizmos.DrawLine(point1.position, point2.position);

        Gizmos.color = Color.cyan;
        Gizmos.DrawLine(point2.position, point3.position);

        Gizmos.color = Color.red;
        for (float ratio = 0.5f / vertexCount; ratio < 1; ratio += 1.0f / vertexCount)
        {
            Gizmos.DrawLine(Vector3.Lerp(point1.position, point2.position, ratio), Vector3.Lerp(point2.position, point3.position, ratio));
        }
    }
}