Tweer's Number (Size: Epic)

A bigger number which is represented by the symbol $$\beth$$

How it's calculated
This works the same way as Tweer's Number (Size: Massive) except it begins with an already insane function, the TREE function

$$f_0(1) = TREE(1) = 1$$

$$f_0(2) = TREE(TREE(2)) = TREE(3)$$

$$f_0(3) = TREE(TREE(TREE(3)))$$

Then do everything else the same as the previous number. To avoid confusion we should call the TW function of this the TWT function

$$TWT(1) = f_0(1)$$

$$TWT(2) = g_0(2)$$

$$TWT(3) = h_0(3)$$

Now we can finally calculate Tweers (Epic) Number

$$TWT(TREE(3))$$