Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
With no annotations, the description carries the full burden, and it does disclose one genuinely useful behavioral trait: legal moves are included only on your turn, so the response shape varies by state. It says nothing about read-only semantics, authentication requirements (the api_key param exists but the behavior around it is unstated), or what happens for a missing/invalid game_id.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.