Wordpress: how to handle redirects in shortcode

wp_shortcode_redirect.php

class my_shortcode{

  public function __construct()
  {
      add_shortcode('my_shortcode', array($this, 'render_form'));

      add_action( 'template_redirect', array($this, 'handle_form_post') );
  }
  
  function render_form(){
    // guess what goes there :D
  }
  
  function handle_form_post(){
    if ( isset( $_POST[''my_shortcode_form_name'] ) ) {
      $dest_url = 'set your url';
      wp_redirect($dest_url);
      exit;
    }
  }
}