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

using UnityEngine;

namespace Creatures.Player.Movement
{
    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);
        }
    }
}