How to add a user to Firebase?

Question

Swift

Tell me why the user is not added to the database? user login from already created account produced
rule in firebase

{
  "rules": {
  	".read": true,
    ".write": true
  }
}

program code

//
//  AuthViewController.swift
//  motoRider
//
//  Created by Николай on 13.10.2020.
//  Copyright © 2020 Nikolay Fokin. All rights reserved.
//

import UIKit
import Firebase
import  FirebaseAuth
import FirebaseDatabase
class AuthViewController: UIViewController {
    var signup:Bool = true{
        willSet{
            if newValue{
                titleLabel.text = "Регистрация"
                nameField.isHidden = false
                 enterButton.setTitle("Войти", for: .normal)
            }else{
                titleLabel.text = "Вход"
                nameField.isHidden = true
                enterButton.setTitle("Регистрация", for: .normal)
            }
        }
    }
    @IBOutlet weak var titleLabel: UILabel!
    @IBOutlet weak var nameField: UITextField!
    @IBOutlet weak var emailField: UITextField!
    @IBOutlet weak var passwordField: UITextField!
    @IBOutlet weak var enterButton: UIButton!
    override func viewDidLoad() {
        super.viewDidLoad()
        nameField.delegate = self
        emailField.delegate = self
        passwordField.delegate = self
    }
    

    @IBAction func switchLogin(_ sender: UIButton) {
        signup = !signup
    }
    
    func showAlert(){
        let alert = UIAlertController(title: "Ошибка", message: "Заполните все поля!", preferredStyle: .alert)
        alert.addAction(UIAlertAction(title: "Ok", style: .default, handler: nil))
        present(alert, animated: true, completion: nil)
    }

}
extension AuthViewController:UITextFieldDelegate{
    func textFieldShouldReturn(_ textField: UITextField) -> Bool {
        
        let name = nameField.text!
        let email = emailField.text!
        let password = passwordField.text!
        if (signup){
            if (!name.isEmpty && !email.isEmpty && !password.isEmpty){
                
                Auth.auth().createUser(withEmail: email, password: password) { result, error in
                    if error == nil{
                        if let result = result{
                            print(result.user.uid)
                            let ref = Database.database().reference().child("users")
                            
                            ref.child(result.user.uid).updateChildValues(["name" : name,"email" : email])
                            self.dismiss(animated: true, completion: nil)
                           
                            self.navigationController?.popViewController(animated: true)

                            
                        }
                    }
                }
                        }else{
                        self.showAlert()
                        print("2")
                }
            }else{
                if (!email.isEmpty && !password.isEmpty){
                    Auth.auth().signIn(withEmail: email, password: password) { (result, error) in
                        if error == nil{
                            self.dismiss(animated: true, completion: nil)
                        }
                    }
                    
                } else{
                    self.showAlert()
                }
            }
            
            return true
        }
}