So here is the layout. There are different types of trees, or at least different ways to create a tree depending on the placement of the nodes.

A binary tree, which is what Rose has, means at most 2 children per node.

A full tree is where each node has either 0 or 2 kids

A complete tree is where every node except the last row has 2 kids

And A Balanced Tree. Instead of having one long path, each side is pretty even.

To make this tree everything has to be re-written. Meaning a root change.

This also means for Rose, when she fills up her entire Green Bar, it will be a Complete Balanced Binary Tree