Trigger a new AI insights analysis run for the team. Returns 202 Accepted immediately with the runId and initial status. Poll GET /api/v2/insights/runs/{runId} until status transitions to completed, partial, or failed.

A Location response header points directly to the polling URL.

In local development (no ANALYSIS_LAMBDA_ARN set), the run executes synchronously and the response header X-Local-Sync-Fallback: true is set — the run will already be complete when the 202 is received.