Summary

• move App's runtime mobile session sync skip check into the sync-runtime-graph module
• include agent status epoch/detail projection in the sync key so paired clients get prompt/tool updates
• coalesce timestamp-only agent heartbeats into a 30s freshness bucket to avoid runtime graph sync churn

UX / regression risk

• Contained to paired web/mobile session sync scheduling.
• Does not change terminal layout handling, tab create/close IPC, browser streaming, SSH transport, provider IPC, Source Control, ChecksPanel, or PR status polling.
• Prompt/tool/status detail updates publish immediately; timestamp-only freshness updates publish at most once per 30s bucket.

Verification

• pnpm exec vitest run --config config/vitest.config.ts src/renderer/src/runtime/sync-runtime-graph.test.ts
• pnpm exec oxlint src/renderer/src/runtime/sync-runtime-graph.ts src/renderer/src/runtime/sync-runtime-graph.test.ts src/renderer/src/App.tsx
• pnpm typecheck
• pnpm test
• pnpm exec electron-vite build --mode e2e
• git diff --check origin/main...HEAD
• sensitive reference scan