Tree Behavior does not work with multiple parents?

Hello,

I am somewhet a newbie to CakePHP. I am trying to migrate my website
from own framework to CakePHP. Everything is wonderful until i got to
tree behavior issue for categories. I will explain a little bit what i
am trying to achieve:

I have many categories that can have multiple parent categories
ie. Travel Websites category has two parents:

Business » Travel » Travel Websites
AND
Internet » Websites » Travel Websites

DATA MODEL:

Categories
id, category_id

Categories_Categories
id, parent_id, category_id

I have looked in CakePHP's book at the Tree Behavior chapter. I saw
that a node (category) can have only 1 parent node (category). This
behavior seems not to work with multiple parent nodes. Anyone is able
to give me some hints if there is a work around for my issue with tree
behavior?

I have thought about this for past few days and I am stuck. Any help
is greatly appreciated! Thanks in advance for your time!

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