My 3 best high scores are always the same. I always see the 1 best score. Can't get them to change accordingly.

I made a fairly simple high scrore system that should showcase the latest 3 best scores but I can't seem to make the second and the third score change.

 using System.Collections;
 using System.Collections.Generic;
 using UnityEngine;
 using UnityEngine.UI;
 using UnityEngine.SceneManagement;
 
 public class Scores : MonoBehaviour
 {
     public Text yourCurrentScoreNumberText;
     public Text score1;
     public Text score2;
     public Text score3;
 
     
     public Canvas HighScoreCanvas;
     private TreeBehavior treeBehavior;
     public GameObject ScoreCounter;
 
     void Start()
     {           
             HighScoreCanvas.enabled = false;   
             //DontDestroyOnLoad(gameObject);     
     }  
     public void ShowHighScoreCanvas()
     {      
         if (ScoreCounter.GetComponent<ScoreCounter>().mängLäbi == true)
         {                       
             HighScoreCanvas.enabled = true;
 
             yourCurrentScoreNumberText.text = ScoreCounter.GetComponent<ScoreCounter>().finalScore.ToString();
             
             int score1st = PlayerPrefs.GetInt("bestscore");
             int score2nd = PlayerPrefs.GetInt("secondscore");
             int score3rd = PlayerPrefs.GetInt("thirdscore");
                                                         
             if (ScoreCounter.GetComponent<ScoreCounter>().finalScore >= score1st)
             {
                 score3rd = score2nd;
                 score2nd = score1st;
                 score1st = ScoreCounter.GetComponent<ScoreCounter>().finalScore;
 
                 PlayerPrefs.SetInt("thirdscore", score3rd);
                 PlayerPrefs.SetInt("secondscore", score2nd);
                 PlayerPrefs.SetInt("bestscore", score1st);
 
                 score1.text = score1st.ToString();
                 score2.text = score2nd.ToString();
                 score3.text = score3rd.ToString();
 
             }
             else if(ScoreCounter.GetComponent<ScoreCounter>().finalScore >= score2nd) 
             {
                 score3rd = score2nd;
                 score2nd = ScoreCounter.GetComponent<ScoreCounter>().finalScore;
 
                 PlayerPrefs.SetInt("thirdscore", score3rd);
                 PlayerPrefs.SetInt("secondscore", score2nd);
 
                 score2.text = score2nd.ToString();
                 score3.text = score3rd.ToString();
             }
             else if(ScoreCounter.GetComponent<ScoreCounter>().finalScore >= score3rd)
             {
                 score3rd = ScoreCounter.GetComponent<ScoreCounter>().finalScore;
                 PlayerPrefs.SetInt("thirdscore", score3rd);
 
                 score3.text = score3rd.ToString();
             }           
         }  
     }   
     public void playButton()
     {
         SceneManager.LoadScene(1);
         HighScoreCanvas.enabled = false;
     }
     public void mainMenu()
     {
         SceneManager.LoadScene(0);
         HighScoreCanvas.enabled = false;
     }   
     void Update()
     {
         ShowHighScoreCanvas();
     }
 }