Please help.. (part 1 of the additional tasks) I hope someone could explain in detail why my loop is working wrong..

//------ array of objects
var persons = [
  {name: "Merna", job: "none", age: 18},
  {name: "Hala", job: "fulltime", age: 27},
  {name: "Lolo", job: "parttime", age: 35},
  {name: "Baky", job: "none", age: 16},
  {name: "Yara", job: "studies", age: 20}
];
//------ variables:
var person;
var search;
var found = false;


//-------functions:

//function to print in html
function print(message) {
  var div = document.getElementById("output");
  output.innerHTML = message;
}
//function to print the person we are searching for:
function printList(person) {
  var list = "<h2> Name: " + person.name + "</h2>";
  list += "<p>Job: " + person.job + "</p>";
  list += "<p>Age: " + person.age + "</p>";
  return list;
}

//------loops
// while loop to make a question and answer
while (true) {
  search = prompt("Search any Name: (write DONE to stop) ");

  if (search.toUpperCase() === "DONE" || search === null) {
    break;
  }
// for loop to search existing students:
   for (var i = 0; i < persons.length; i += 1) {

    person = persons[i];

      if ( search === person.name.toLowerCase() ) {

      found = true;
      list = printList(person);
      print(list);

    } else if (!found) {

//here is the problem: when i search for a wrong name, it just doesnt print this, it only prints it on first try.
       print("This Name: " + search + " is not found!");
      }
    }
}