feat(sync): sync closed sections in the background, as OneNote 2010 does

Each open notebook gets a background thread that polls every closed section's
stamp every 15 s (immediately on Sync Now or when a section closes). A section
with queued edits or a moved file runs the existing sync step, publishing or
merging as one appended revision. Work Offline stops it. The sync popup lists
every section, and the top-right status shows the notebook's worst state.

Assisted-by: claude-opus-5.5
f4e1afda77clover caruso committed on 9/29/2026, 5:00:31 PMparent24912d5
12 files changedLine totals unavailable