Move an application to a different stage within the same job or transfer to another job

Advance the candidate to a new interview stage. from_stage_id is required and must match the candidate's current stage — it acts as a guard against stale move requests. Provide to_stage_id to move within the same job, or to_job_id to transfer the application onto a different job (the candidate lands on that job's first interview stage). A successful move fires any configured stage transition rules, including automated emails sent from email_from_user_id (or a global address when supplied via Greenhouse configuration).