Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
Given the tool's complexity (two modes, a max limit, a strict refusal condition, and an output schema that is present), the description is remarkably complete. It covers all operational aspects an agent needs to call it correctly: the modes, the constraint, the failure behavior, and the root-parent semantics. Annotations already handle safety, so nothing critical is missing.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.