I am unable to catch the javascript "select" event of datatables.js
i.e. (https://datatables.net/reference/event/select)

I am trying to insert the code into your "Custom wpDataTables JS" section.

By the way, the 'order' event does work but is not the event I need.

I am using the following code:

jQuery(window).load(function(){
  //wpDataTables.table_1.addOnDrawCallback(function(){alert('Callback triggered!');});
  var table = jQuery('#table_1').DataTable();
  table.on( 'select', function ( e, dt, type, indexes ) {
  alert( 'Table select ran!' );
  if ( type === 'row' ) {
    var data = table.rows( indexes ).data().pluck( 'id' );
    // do something with the ID of the selected items
    alert(id);
  }
  });
});

This seems to work, it is different to the datatables.net advice but it works:
(I placed it once in the correct page as a snippet, if placed in the wp data tables custom JS section, it is inserted for every single table)

jQuery(window).load(function(){

  var table = jQuery('#table_1').DataTable();

  jQuery('#table_1 tbody').on('click', 'tr', function () {
    var data = table.row( this ).data();
    alert(data[0]);
  });
  
});