Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
For a simple, single-parameter read-only tool with an output schema, the description is complete. It names the output fields, connects the id to get_board's positions map, and gives clear use cases. Annotations cover the read-only safety profile, and the schema covers the parameter, so nothing essential is missing.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.