Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
With no annotations, the description carries the full disclosure burden. It does add real value by naming the two things destroyed (browser tab and static server), implying the session is torn down, but it is silent on whether in-flight state is lost, whether the session can be reopened, what errors occur for an unknown game_id, and whether this requires the game to be open. That is a meaningful gap for a teardown operation.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.