First update the menu in the Lightspeed K-Series admin UI. Refer to Lightspeed documentation for how to do this.
At present there is no way for Lightspeed menus to immediately sync to LOKE. The integration will periodically check for menu updates, so if not urgent you may simply wait (~1hr) and the menu should resync in the background.
If you wish to sync the menu immediately then you will need to force a resync in the integration. To do this press the Sync Menu button under the relevant LOKE location.