I believe all the GTO's and Firebirds with a 3-speed manual used the M-13 Dearborn produced Ford trans.
The standard trans in the 69-71 Judge was a 3-speed too, just like in the 1969 Trans Am. In 1971, the 455HO was the standard (and only) engine for The Judge, and the base transmission was still the 3-speed manual. Only eleven 1971 Judges were ever built with the 3-speed.