Like to know if I can take a train from Wusu airport (Taiyuan) to Pingyao.

Understand there is train that travel at 4.42am / 12.13pm / 10.42pm from airport to Pingyao. I'm not too sure the train station is around the airport. My flight touch down 12.30am. So no point to travel to city then get back to airport the next morning. Please advise.