If you want parts of the snake hidden and the snake is made of lines/open shapes then you want to be using the cut shapes tool.
This video might help you a bit: https://www.youtube.com/watch?v=rTYixcObMuU&t=1s
as might this one: https://www.youtube.com/watch?v=51cXqmNHgeI
and our documentation: Modifier Tools - LightBurn Documentation