Run cronjob with browser request

You’d be better off using the wordpress API:

function wp_register_cron_endpoint() {
  register_rest_route( 'crons', '/run_cron', array(
      'methods' => 'GET',
      'callback' =>  'run_crons'
  )); 
}

add_action( 'rest_api_init', 'wp_register_cron_endpoint' );

function run_crons(){
  /*** Do whatever you want ***/
}

Then you can hit http://example.com/crons/run_crons and you’ll A)Trigger wp_cron based on the wp_load and B) Do whatever you want in the function.