Update billing sync statuses for finance and ops

Your billing records go stale when manual pushes skip status updates, leaving invoices untriaged. Keep sync status current so billing staff can reconcile issues before the next billing run.

Overview

Manual billing pushes can leave sync status stale and slow reconciliation. This flow updates status fields immediately when you trigger a browser push, so billing staff and marketing ops see corrected sync statuses within minutes and can resolve issues before the next billing run.