Friedman's TREE(2)?

What is the correct value of Friedman's TREE(2)?

Near the end of

it's stated that TR(2) = 2

and near the beginning of

this is repeated in the form TREE(2) = 2.

Can someone please confirm that these are typos, and should be
TR(2) = TREE(2) = 3?

.... Or otherwise explain why the following sequence of vertex-
labelled rooted trees is not a counterexample ...

T_1: 2
T_2: 1----1
T_3: 1