I don't really see the problem here. You can perfectly insert the new record element in the right position, as long as the initial record set is sorted: that's just before the first record with a name greater than the inserted record name.

So add the following code to the handler, and voilą!

                                      elsif( $record->field( 'name') g
+e $x->field( 'name')) {
                                           $x->paste( before => $recor
+d);
                                           $item_pasted=1;
                                           return
                                       }
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