Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
For a zero-parameter listing tool, the description is complete. It names the output fields (status, channel), explains how to get project IDs, and covers the scoped-key edge case. Annotations supply safety and open-world hints, so the description covers all necessary guidance for an agent to select and invoke the tool.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.