Menu music stops playing after returning from game level

Hello everyone! I have a problem with my game music and I can't figure out what's the problem. I have "MenuMusic" gameobject in main menu scene with DontDestroyOnLoad script attached to it. when I go to the character selection menu or achievements screen, everything works fine - music continues to play. My game level has a script that kills "MenuMusic" object. When I exit back to main menu, the MenuMusic starts playing, but when I go to other menu scenes, the music stops and I can't figure out why. Long story short - After I have played the game level, menu music is playing only in Main menu scene.

This is the code attached to main menu gameobject. However, after I comment out the Destroy(this.gameObject); the music continues to play in other menu scenes, but instantiates after returning back to main menu. What could be wrong?

 using UnityEngine;
 using System.Collections;
 
 public class DontDestroy : MonoBehaviour 
 {
     static bool AudioBegin = false;
     GameObject otherSound;
     
     // Use this for initialization
     
     void Awake()
 
     {
             otherSound = GameObject.FindGameObjectWithTag("MenuMusic");
         
         if (otherSound == this.gameObject)
         {
             if (!AudioBegin)
             {
                 DontDestroyOnLoad(this.gameObject);
                 AudioBegin = true;
             }
         }
 
         else
         {
             Destroy(this.gameObject);
         }
 }
 
 }