twinStick/twinStickCrawler/Assets/Scripts/Creatures/Player/CameraMove.cs

using UnityEngine;

public class CameraMove : MonoBehaviour
{
    private Transform _cameraTransform;
    private Transform _player;
    private Vector3 _camOffset;
    private float _followspeed;
    public void initialize(Transform player, Vector3 camOffset, float followspeed, Transform cameraTransform)
    {
        _player = player;
        _camOffset = camOffset;
        _followspeed = followspeed;
        _cameraTransform = cameraTransform;

        InitPosition();
    }
    
    // Start is called once before the first execution of Update after the MonoBehaviour is created
    void InitPosition()
    {
        Vector3 desiredCamPos = _player.position+_camOffset;
        _cameraTransform.position = desiredCamPos;
        _cameraTransform.LookAt(_player);
    }
    
    public void MoveCamera()
    {
        Vector3 desiredCamPos = _player.position+_camOffset;
        _cameraTransform.position = desiredCamPos;
        _cameraTransform.LookAt(_player);
        
        _cameraTransform.position = Vector3.Lerp(_cameraTransform.position, desiredCamPos, _followspeed*Time.deltaTime);
    }
}