Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
For a setup tool with no annotations, no output schema, and an undocumented parameter, the description is far from complete. It does not state what setup entails, what the expected outcome is, what side effects occur, or what input the api_key parameter is used for. An agent would still be guessing about critical operational details.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.