Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
Annotations already cover the full safety profile (readOnlyHint, idempotentHint, destructiveHint=false, openWorldHint=false), so the description only needs to add context. It does disclose the granularity of the payload — hand by hand, both players' cards, every move — which is useful since no output schema exists. However, it says nothing about behavior for a match that is not finished or not found, nor about auth requirements beyond what the api_key parameter schema states.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.