Can Terminal Transferase (TdT) label both the 3' and 5' end of DNA?

Does TdT have a preference for a specific type of 3' DNA end?

Terminal deoxynucleotidyl transferase (TdT) can only label the 3' end of DNA.

Addition of dNTPs to 3' OH protruding ends is more efficient than with 3' OH recessed or blunt ends.