Friedman's TREE(2)?

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

Near the end of
http://www.cs.nyu.edu/pipermail/fom/2006-March/010260.html

it's stated that TR(2) = 2

and near the beginning of
http://www.cs.nyu.edu/pipermail/fom/2006-March/010279.html

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

Thanks.
--r.e.s.

.

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