How to create a binary tree with the package?

Can I create a binary tree with nodes of attributes (binary vector value, left child, right child, parent, depth)?

The inserted elements are compared based on specific conditions so that a binary tree is produced. Some empty nodes are inserted to keep the tree in shape.

<img width="925" alt="Image" src="https://github.com/user-attachments/assets/df445472-50fc-4420-86e7-d290e02de5c8" />

