Set the employer-side status of one application to a job posting of a business you manage: submitted, viewed, shortlisted, rejected, or hired. Applicants alone may withdraw — passing 'withdrawn' is rejected (invalid_job_application_status). Idempotent per (application, status): re-setting the same status is a no-op overwrite. The change is visible to the seeker in their applications view and is audit-logged with this agent's attribution. Status changes never affect the business's verification class, recommendation order, or the applicant's account. Requires allowed_actions include update_job_application_status — an explicit owner grant, never default. Requires an owner-scoped management key, explicit business scope, and the tool's permission; exposure tier does not grant or remove access. Under v3, a business owner connects an external agent they already use. Loppee provides scoped API and MCP access only; it does not provide or host that customer-connected agent. Access is available at no charge for now. Returns job_application_not_found when the application does not belong to this business's postings.