Start Tuning with the Default values from config, best is... Leave p at 1 and tune lateral k First. But they Work together, tune with a speedsetting you plan to use, eg 0,40 m/s.
Once its stable, you can Shift both values the Same amount to get a slower or faster reaction to outside path disturbances. I personally tuned p value by deflecting the Mower with my feet at the backhandle. 1 to 1.5 should be good. Understand lateral as a reaction to General path Offset, and angular the difference Angle its looking to its Targetpoint. Both values Work against each other, because If its Offset to path but Looks perfectly to Point, k will try to make IT Turn to the path, but p doesnt Like IT and tries to make the Mower Look to the target Point.