Modernahab
1110
Congratulations on a fine acquisition!
I couldn't agree more, by the way, as to the state of the mechanical watch industry in the early 2000s. Without consciously intending to, I have managed to accumulate a number of watches originating roughly from 2000-2010, and number quite a few of them among my favorites:

A. Lange & Sohne Cabaret

A. Lange & Sohne Langematik Sax-O-Mat 
Patek Philippe 5098R

JLC Reverso Duoface Night & Day

Breguet Classique 5327

Glashütte Original PanoRetroGraph
Glashütte Original Sixties

Roger Dubuis Sympathie S34
Cartier Rotonde de Cartier Jour et Nuit

Parmigiani Fleurier Kalpa XL Hebdomadaire

and lastly, and perhaps the most germane, the Ulysse Nardin Ulysse1 Platinum Limited Edition, probably from about the same time as your GMT Perpetual.
Wear yours in the best of health