It's great to see your interest in CS2. For the full version of the game, the game ID may have changed from the beta. To find the most up-to-date information, I recommend checking the official CS2 website or any official forums or communities related to the game. They should have the accurate game ID and any other relevant details you might need.
Also, if you're into customizing your CS2 experience, you can explore CS2 skins
. They offer a variety of skins that can add a unique touch to your in-game assets. Enjoy your CS2 adventures, and I hope you find the information you're looking for!