fix(remote): reconcile live transcripts after persistence

[JairEsk]

Summary

• publish an authoritative transcript snapshot whenever a desktop message is persisted
• reconcile phone-driven turns before broadcasting the idle state
• add regression guards for the persistence-to-snapshot wiring

Testing

• npm run typecheck
• npm run smoke:shared (1097 checks)
• npx prettier --check src/main/ipc/index.ts src/main/services/remote.ts test/shared.ts