Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
The description covers purpose, ownership, quota, and the side-effect condition, and an output schema is present, so return-value details are not needed. The only minor omission is an explicit pointer to create_public_room, but the word 'private' already signals that boundary, making the description complete enough for correct tool selection and invocation.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.