Remove some traces.  Use the stageWidth and stageHeight to determine starting point for new Twigs.  Update the Branch with the ending x,y for new TwigSections and use that as the point to place new Nodes on the Branch
Add NodeDisc of small greenish transparent ellipse at each Node. Make the size of the TwigSections more to my liking. Make the TwigSections curved with curveTo