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Your number is not Big enough to Beat TREE(3).
Forget about TREE(3), your number isn't even bigger than G(65) which is Grahams number followed by G(64) number of arrows in between them.
A grahams number growth rate is not more than fw+1 while there are not enough finite ordinals to represent growth rate of TREE(3).
Even if you write G(G(G(G(G...G(64)))) with G64 times and then make power tower of this number to another G(64) times, you still is hasn't approached to TREE(3) yet, not even close. You still a zero.