Should also work with the X13. Need this dock with a Levono L490. Works with 2* 24" monitors & internal display, without problems. Just connect the USB-C cable and everything (network, screen, keyboard, mouse and the battery is charged) is connected.
The only limitation with the L490 is the resolution of max. 1920*1080, but this is up to the Intel GPU.
If one monitor is operated with 1920*1200 or higher, the other 2 monitors can only be operated with XGA.