TANGUEDIA III - 1987 - Astor Piazzolla y su Quinteto

Tanguedia III - also known as Tanguedia I - also known as Tanguedia - also known as Vista Aérea - also known as Los lagartos - also known as Contraataque
Why is it called Tanguedia TRES? Some say, because that's how it was in the movie "El exilio de Gardel". Then why the official CD has it under the name "Tanguedia I"? Some say, the correct title should be simply Tanguedia. Why then in this video Piazzolla's sheet has "Tanguedia III" on it? Some say, TRES means three parts in this version of Tanguedia. No idea.
If anyone has anything to add - feel free to do so.
Video taken from the Leverkusener JAZZTAGE '87 (15.10.1987)