Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
With an output schema present, return values need not be explained, and the single parameter is documented in the schema. The description covers purpose, timing, and the key caveat, but omits the relationship to assign-conversation, which is the main remaining ambiguity for correct tool selection.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.