Automate keeping docs.prolific.com's CLI command table in sync

[script-this]

Background

The CLI command table on docs.prolific.com (docs/public_api/fern/docs/pages/tooling/cli.mdx in prolific-oss/prolific) is hand-maintained and drifts silently. It just took over a year to notice: it still listed the requirements command a year after removal, and was separately missing 9 other commands (aitaskbuilder, bonus, collection, feedback, filters, eligibility-count, invitation, researcher, reward-recommendations, survey, template) that had shipped since. Fixed manually in prolific-oss/prolific#16055, but nothing stops it drifting again.

Idea

Mirror the existing schema-drift-check.yml pattern in this repo (which diffs the CLI against the live OpenAPI spec and files a schema-drift issue on divergence), but for the command tree vs. the docs table instead of the API spec vs. the client.

Rough shape:

1. This repo (public) exposes the current command list + descriptions in a machine-readable form — e.g. walk rootCmd.Commands() and emit JSON, or reuse Cobra's own doc generation.
2. A scheduled check (could live here or in prolific-oss/prolific, since this repo is public either side can read it) fetches that manifest and diffs it against the docs table, filing an issue (or opening an auto-PR) on drift.

Open questions

• Which repo owns the check? The manifest's source of truth is here; the table it's checked against lives in the private prolific-oss/prolific repo, so this needs a decision either way, plus whatever CI wiring the docs repo's checks/hooks require.
• Auto-PR vs. issue-only, matching or diverging from the existing schema-drift-check.yml behavior.

Backlog item — not scoped/estimated yet.