I need help making my turn script have a rotation damp so it does not turn instantly

[gideonstrom]

currently i have a script that causes an object to turn and move towards the cursor, however it instantly turns it. I want the script to slowly turn towards the cursor. currently the script i am using is

using System.Collections;
using System.Collections.Generic;
using UnityEngine;

public class playermovement : MonoBehaviour
{
    [SerializeField] float movementspeed = 150f;
   
    [SerializeField] float turnspeed = 309f;
   
    void Update()
    {

        Turn();
        Thrust();
       
    }

    void Turn()
    {
        Ray ray = Camera.main.ScreenPointToRay(Input.mousePosition);
        Plane plane = new Plane(Vector3.up, Vector3.zero);
        float distance;
        if (plane.Raycast(ray, out distance))
        {
            Vector3 target = ray.GetPoint(distance);
            Vector3 direction = target - transform.position;
            float rotation = Mathf.Atan2(direction.x, direction.z) * Mathf.Rad2Deg;
            transform.rotation = Quaternion.Euler(0, rotation, 0);
            
        }

    }
    
    void Thrust()
    {
        if (Input.GetAxis("Vertical") > 0)
            transform.position += transform.forward * movementspeed * Time.deltaTime * Input.GetAxis("Vertical");
    }


}

[Hellium]

Haven’t tested:

     if (plane.Raycast(ray, out distance))
     {
         Vector3 target = ray.GetPoint(distance);
         Vector3 direction = target - transform.position;
         float rotation = Mathf.Atan2(direction.x, direction.z) * Mathf.Rad2Deg;
         transform.rotation = Quaternion.RotateTowards( transform.rotation, Quaternion.Euler(0, rotation, 0), Time.deltaTime * 1 ); // Replace `1` by the value you want, or even by a public variable
         
     }

[unity_v4z-HsChKdEYQ]

// damp level
float rotatetime;
transform.rotation = Quaternion.Euler(0, mathf.Lerp(tranform.rotation.y, rotation, rotatetime), 0);

will this work?