The native-app agent orchestration model setting.

The Cortex Agent orchestration model the install is configured to use (auto by default), its status (ok, fallback when the requested model is not available on the account, unverified when availability could not be checked, pending when the saved model is not applied to the agent yet, which the admin card shows as "Not applied yet"; save again to retry), plus which models the org's newest 50 terminal agent turns actually ran on. Snowflake mode only: outside it this route does not exist (404). Admin or owner only, own org only. Runs under the caller's own Snowflake session: 409 when that session has no usable warehouse.