My code is different, but it seems to work. Am I overlooking something that will glitch in some situation I don't get?

var correctGuess = false;
var randomNumber = Math.floor(Math.random() * 6) + 1;
var guess = prompt("pick a number 1-6");
if (parseInt(guess) === randomNumber) {
  correctGuess = true;
}
if (correctGuess) {
  document.getElementById("print").innerHTML = "That's right!";

} else if (parseInt(guess) < randomNumber) {
  var guessMore = prompt("GuessHigher");
    if (parseInt(guessMore) === randomNumber) {
      document.getElementById("print").innerHTML = "That's right!";
    } else {
      document.getElementById("print").innerHTML = "Sorry, the number was " + randomNumber;
    } 

} else if (parseInt(guess) > randomNumber) {
  var guessLess = prompt("Guess Lower");
    if (parseInt(guessLess) === randomNumber) {
      document.getElementById("print").innerHTML = "That's right!";
    } else {
      document.getElementById("print").innerHTML = "You're not even trying, the number was " + randomNumber;
    }

}