You don't have to remember it all.👍
The "carrozzata de ZAGATO" is actually kind of superfluous (the rest after it is just the chassis number). It's saying that the "carrozzeria" (the coach builder, several Italian companies are very popular for 3rd party styling and can even handle some manufacturing) is Zagato. I say it's superfluous because TZ stands for "Tubolare Zagato" (Zagato built a tube-frame chassis as well as the body).
By the same token, you could call the '63 Alfa Romeo Giulia Spring Speciale "carrozzata de Bertone" since Bertone handled the body for both the Giulia and pervious Giulietta Sprint Speciale cars (although the later 1.6L car is typically called Giulia SS). Bertone, arguably, made the most stylish versions for Alfa Romeo and their aerodynamic bodies wouldn't be rivaled for many years.
Zagato has been known to handle "sporty" models for Alfa, such as the TZ and SZ (Sprint Zagato, both Giulietta and new one). There was never a road-going version of the TZ2, last I remember only 10 or so race cars were made and they had a special version of that famous 1.6L that had a higher performance cylinder head with twin spark plugs per cylinder, that same twin-spark version also appears in the '65 Giulia GTA in the game. The GTA was the replacement for the TZ2, though the TZ2 was a sports car and the GTA would compete as an FIA Group 2 touring car where it would clean house (also the winner of the very first champion in its class in the SCCA Trans Am series).
If you're not familiar with the 1.6L Alfa motor I recommend you check it out, worth the read. Think dual overhead cams, all-alloy block and head, hemispherical combustion chambers, and some cars got factory iron cylinder sleeves. Not bad for a production car motor in the early '60s!
Anyways, I always liked the old Alfa Romeo names. The Italian pronunciation just rolls nicely off the tongue, especially the Speciale and Duetto.