New API reference, with a live try-it console

The API reference at /docs/api has a new look. It’s searchable, grouped by feature area in a proper sidebar, and every endpoint has a Try it panel — fill in the parameters and see a real response, no separate tool needed.

Old bookmarks to a specific endpoint’s own page still work; they land you on the main reference now instead of 404ing.

Nothing about the API itself changed — same endpoints, same behavior, just a better way to read about them.