Hello @ienesaglam60 , there isn't a great way to 3D snap in FME as of yet. It looks like there is some speculation around adding it - no adopted timeline however (FMEENGINE-15050). It might be worth upvoting this idea on the Knowledge Base, if this is something you'd like to see added to FME.
Otherwise, there are many ways you could appraoch this, maybe be deaggrating the lines or use a Intersector to create the nodes at each line? Once you have the nodes, maybe you could use node coordinates to build the line or 3DInterpolator? Alternatively, the Chopper could be a fairly useful transformer for this challenge. Happy to help, Kailin.