Field value changes after SceneManager.LoadScene been called

Hi, I'm still pretty new to Unity.

After my player changes from one to scene to another I wanted him to change its position if the two scenes are 1 and 2. In the Debug.Log(player.position) it shows that the position does change but the player is still in the center of the screen. If I have Debug.Log(houseExit) which is a bool to see if the player has left from the house, it changes to true for a single frame and then back to false, although not specified to do so in the if statement.

 public class SceneManager : MonoBehaviour
 {
     public static SceneManager Instance { get; set; }
     public int scene;
     public int currentScene;
     Transform player;
     public Vector3 afterHouse = new Vector3(-13.4f, -0.6f, 3.8f);
     bool houseExit = false;
 
     void Awake ()
     {
         player = GameObject.Find("Player").GetComponent<Transform>();
         if (Instance != null && Instance != this)
         {
             Destroy(gameObject);
         }
         else
         {
             Instance = this;
         }
     }
     void Update ()
     {
         if (houseExit == true)
         {
             Debug.Log("Works!");
             Debug.Log(player.transform.position);
             player.transform.position = afterHouse;
             Debug.Log(player.transform.position);
         }
     }
     public void Position(int Scene, int CurrentScene)
     {
         scene = Scene;
         currentScene = CurrentScene;
 
         if (scene == 1 && currentScene == 2)
         {
             player.position = afterHouse;
             houseExit = true;
         }        
     }
 }

This is the other script that handles the collision:

 public class SceneSwitch : MonoBehaviour
 {
     public Transform player;
     public int scene;
     public int currentScene;
     void OnTriggerEnter ( Collider other )
     {
         if( other.gameObject.tag == "Player" )
         {
             SceneManager.LoadScene( scene );
             SceneManager.Instance.Position( scene , currentScene );
         }
     }
 }