Right-click that game. Go to Properties > DLC. You are looking for "Counter-Strike 2 - Full Game."
The Legacy version is a digital coffin. It allows you to play on old demo files and community servers that haven't updated, but you will be locked out of the core loop: Premier mode, the new ranking system, and the matchmaking pool. how to download counter-strike 2
Go to Steam > Settings > Downloads. If you are on the East Coast US, switch to "US - New York" or "US - Chicago." If you are in Europe, avoid Luxembourg (always overloaded). The CS2 depot is massive. Using a less congested server can cut your download time from 3 hours to 45 minutes. Right-click that game
But you didn't download a game. You downloaded a platform. CS2 is now the permanent foundation of competitive tactical shooters. The "download" was just the admission fee. It allows you to play on old demo