Follow and Levitation around a object

Hello guys. I would like create a companion AI for my player. This companion must follow the player and at the same time must levitate around the player. I did this script but don't work. The effect is irrealistic.

1)https://i.gyazo.com/4615f4c5438205c4546fffb577d03efd.mp4 2)https://i.gyazo.com/32045e4f0526fc8d5878d3ccebcda7c4.mp4

The problem of the second video is due to this part of the code.

 if (Vector3.Distance(transform.position, target.position)>2)
         {
             transform.position = Vector3.MoveTowards(transform.position, target.position, step);
         }

Complete Script

 public Transform target;
     public float speed;
 
     float originalY;
 
     public float floatStrength = 1;
 
 
     void Start() {
         this.originalY = this.transform.position.y;
     }
 
     void FixedUpdate() {
         float step = speed * Time.deltaTime;
 
         if (Vector3.Distance(transform.position, target.position)>2)
         {
             transform.position = Vector3.MoveTowards(transform.position, target.position, step);
         }
 
         transform.position = new Vector3(transform.position.x + 0.01f ,
         target.position.y + ((float)Mathf.Sin(Time.time) * floatStrength),
         transform.position.z);
 
         
     }