Hi,
This coin was issued as PROOF in 2002 and as specimen quality in 2003. This design was NOT used in 2004.
https://en.numista.com/catalogue/pieces20727.html
For 2002 a number of Proof sets which have the $2 coin
Kilo collection Mintage: 350
Ten ounce collection Mintage: 198
Two ounce collection Mintage: 342
Quite a few lines need to be added for Privy Marks in 2003.
Privy mark: Boer War Mintage: 1000
Privy mark: World War I Mintage: 1000
Privy mark: World War II Mintage: 1000
Privy mark: Korean War Mintage: 1000
Privy mark: Vietnam War Mintage: 1000
Complete collection of above Mintage: 2500
Sources:
https://www.perthmint.com/documents/2002_Perth_Mint_Numismatic_Coins281112.pdf?_ga=2.220728797.436615188.1571656997-1024022756.1565957456&_ga=2.220728797.436615188.1571656997-1024022756.1565957456
Also
2012 Pocket Guide to Australian Coins and Banknotes (19th Edition) by Greg McDonald