BE-007: Update last_sync_at on device after successful sync

Track: 1 — MVP
Section: 1.3 Device Sync — Status Tracking
Status: [ ] Todo
Repo: backend-api
Branch: feature/BE-007-update-last-sync-at

Done When

After POST /devices/{id}/sync returns 200, query user_devices row → last_sync_at is within 2 seconds of now

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