There will be 3 stickers on the door post. There are printed specific to the vehicles VIN.
Tire and loading info.
Trailering information.
And one that has 'Manufactured by' info with s/n and the QR code containing highlights of the installed options.
The GVWR is definitely in the included information.
I have no idea what VA's registration rules are, or if you can 'elect' to register it with a lower GVWR.
AFAIK, the only way to get 10,000 GVWR on a 2500 is to order the C7A option.
There are restrictions on the C7A option
For 2021 2500 Silverado:
C7A Lowered GVWR, 10,000 lbs. (4536 kg), lowers GVWR and significantly decreases towing and/or payload ratings.
On WT- C*20903, CC20743, CC20753 and CC20953 models require (L8T) 6.6L V8 gas engine. (L5P) Duramax 6.6L Turbo-Diesel V8 engine is not available on the following models: C*20903, CC20743, CC20753 and CC20953.
On Custom and High Country - Not available with (YF5) or (NE1) Emissions.
On LT - C*20903, CC20743, CC20753 and CC20953 models require (L8T) 6.6L V8 gas engine. When ordered with (ZW9) pickup bed delete, includes hard touch instrument panel-top pad. (L5P) Duramax 6.6L Turbo-Diesel V8 engine is not available on the following models: C*20903, CC20743, CC20753 and CC20953.
On LTZ - CC20743, CC20753 and CC20953 models require (L8T) 6.6L V8 gas engine. When ordered with (ZW9) pickup bed delete, includes hard touch instrument panel-top pad. (L5P) Duramax 6.6L Turbo-Diesel V8 engine is not available on the following models: CC20743, CC20753 and CC20953.