Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
For a read-only status tool with a full input schema and an output schema, this is nearly complete: it identifies the batch source, status vocabulary, polling behavior, and a follow-up instruction about llmContext. It could be more explicit about default wait behavior or alternative tools, but nothing critical is missing.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.