I am using the Google Postmaster Tools API to get some Google Sheet reports using Google Apps Script. I had to create a project in Google Cloud to get the Oauth 2.0 credentials and so far so good, I run the script and get the data on the google sheet.
The problem is that if I try to automate it – the script must start itself once a week – I get no errors but neither do I get the data written on the sheet, and I think it depends on the fact that for authentication it is always necessary to copy the url as shown here

var authorisationUrl = service.getAuthorizationUrl(); Logger.log('Open the following URL and re-run the script: %s', authorizationUrl);

This is a simplified version of the script (taken directly from the official google developer documentation):

var CLIENT_ID = 'xxx;
var CLIENT_SECRET = 'xxx';
 function run() {
  var service = getService_();
  if (service.hasAccess()) {
var url = 'xxxxxxx';
    var response = UrlFetchApp.fetch(url, {
      headers: {
        Authorization: 'Bearer ' + service.getAccessToken()
      }
    });
    var result = JSON.parse(response.getContentText());
    ///////// all my stuff done here!!! ################################
   } else {
    var authorizationUrl = service.getAuthorizationUrl();
    Logger.log('Open the following URL and re-run the script: %s', authorizationUrl);
   }
}
/**
 * Reset the authorization state, so that it can be re-tested.
 */
function reset() {
  getService_().reset();
}
/**
 * Configures the service.
 */
function getService_() {
  return OAuth2.createService('Google Postmaster Tools')
      // Set the endpoint URLs.
      .setAuthorizationBaseUrl('https://accounts.google.com/o/oauth2/v2/auth')
      .setTokenUrl('https://oauth2.googleapis.com/token')

      // Set the client ID and secret.
      .setClientId(CLIENT_ID)
      .setClientSecret(CLIENT_SECRET)

      // Set the name of the callback function that should be invoked to
      // complete the OAuth flow.
      .setCallbackFunction('authCallback')

      // Set the property store where authorized tokens should be persisted.
      .setPropertyStore(PropertiesService.getUserProperties())

      // Set the scope and additional Google-specific parameters.
      .setScope('xxxxx')
      
      //.setParam('access_type', 'offline')
      .setParam('prompt', 'consent')
      .setParam('login_hint', Session.getActiveUser().getEmail());
}
/**
 * Handles the OAuth callback.
 */
function authCallback(request) {
  var service = getService_();
  var authorized = service.handleCallback(request);
  if (authorized) {
    return HtmlService.createHtmlOutput('Success!');
  } else {
    return HtmlService.createHtmlOutput('Denied.');')
  }
}
/**
 * Logs the redict URI to register in the Google Developers Console.
 */
function logRedirectUri() {
  Logger.log(OAuth2.getRedirectUri());
}

Can anyone tell me how I can automate this script using apps script triggers?

I set the triggers on a time basis but nothing happens even though the log returns zero errors