Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
Given the tool's complexity (nested input, paid service, prerequisites) and the presence of an output schema, the description covers all critical aspects: purpose, cost, preparation, authorization, and idempotency/recovery. The only minor omission is explicit error handling, which is not required given the output schema.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.