Why doesn't the script select letters by the given label (but removes the label from the letters correctly)?

Question

Google Apps Script

I dug up a script for copying letters from Gmail to a Google spreadsheet. Corrected to work not only with the active book (table), but also with the closed one.
Problem: Emails from the last three days are saved, not those for which the label is specified. (The label is removed from the letter correctly.)

The code

var SHEET_ID = "SPREADSHEET_ID_HERE"; 
var SHEET_NAME = "Sheet1";
var EMAIL_LABEL = "__renew";

function saveEmails() {

  var ss = SpreadsheetApp.openById(SHEET_ID);
  var sheet = ss.getSheetByName(SHEET_NAME);

  var label = GmailApp.getUserLabelByName(EMAIL_LABEL);
  var threads = label.getThreads();

  for (var i=0; i<threads.length; i++)
  {
    var messages = threads[i].getMessages();

    for (var j=0; j<messages.length; j++)
    {
      var dat = messages[j].getDate();
      var msg = messages[j].getBody();

      ss.appendRow(["", dat, "", msg])
    }
      threads[i].removeLabel(label); //убирает ярлык с письма
  }
}

PS What code is needed so that all the labels assigned to the letter are also entered in the table?

Answer 1

And if you try to search for letters like this:

var EMAIL_LABEL = '__renew';
var query = 'in:inbox label:' + EMAIL_LABEL;
var threads = GmailApp.search(query);
var messages = GmailApp.getMessagesForThreads(threads);
for (var i = 0; i < messages.length; i++) {
  for (var j = 0; j < messages[i].length; j++) {
    Logger.log(messages[i][j].getDate() + ' ' + messages[i][j].getSubject());
  }
}