Do while loop not exiting even when false

Question

Please help. My do while loop is acting opposite of what it is supposed to do. When I change the condition to while(play == "yes") it exists regardless of what input. And with (play != "no") it loops regardless of what I input. I think it is the scan.nextLine() portion but I dont know how to fix it..

import java.util.Scanner;
import java.util.Random;

public class Assignment4 {
public static void main(String [] args)
{
    System.out.println("----- MASTERMIND -----");
    Random rand = new Random();
    String play = " ";
    Scanner scan;
    scan = new Scanner(System.in);
    
    do
    {   
        int guess = 0;
        int secretNum = rand.nextInt(9999);
        
        System.out.println(secretNum);
        
        System.out.println("Guess the 4 digit number!");
         int first = 0, second = 0, third = 0, fourth = 0;
            
         int i = 1;
         while (guess != secretNum)
            {   
                System.out.println("Guess " + i + ": " );
                guess = scan.nextInt();
                
                if (String.valueOf(guess).charAt(0) == String.valueOf(secretNum).charAt(0))
                {
                    first = 1;
                }
                if (String.valueOf(guess).charAt(1) == String.valueOf(secretNum).charAt(1))
                {
                    second = 1;
                }
                if (String.valueOf(guess).charAt(2) == String.valueOf(secretNum).charAt(2))
                {
                    third = 1;
                }
                if(String.valueOf(guess).charAt(3) == String.valueOf(secretNum).charAt(3))
                {
                    fourth = 1;
                }
                int total = (first + second + third + fourth);
                System.out.println("You matched " + total);
                if (guess != secretNum)
                {
                    first = 0;
                    second = 0;
                    third = 0;
                    fourth = 0;
                }
                i++;
            }
            System.out.println("Congratulations! You guessed the right number in " + (i-1) + " guesses.");
            scan.nextLine();
            System.out.println("Would you like to play again (yes/no)? ");
            play = scan.nextLine();
            
    } while (play != "no"); 
    
    System.out.print("Bye!");
}
}