feat(code): add archive to Home

[tatoalo]

Problem

The Home view had no way to archive tasks, and archived work wasn't surfaced there at all, workstream row overflow menu only offered "Open task"

ph_code_home_archive.mp4

Changes

• added "Archive" section

[github-actions]

React Doctor found no issues in the changed files. 🎉

_{Reviewed by React Doctor for commit e33dc68.}

[github-actions]

Additive UI feature reusing existing archive infrastructure correctly. All patterns match established codebase conventions, the optimistic HomeSnapshot update is gated on promise resolution, and the empty-state logic refactor is correct.

[greptile-apps]

_{Reviews (1): Last reviewed commit: "feat(code): add archive to Home (archive..." | Re-trigger Greptile}

New commits pushed (delta classified non_trivial_delta) — stamphog approval dismissed; re-review running automatically.

[github-actions]

Additive UI feature adding an archived tasks section to the Home view. Both P1 bot concerns were addressed in follow-up commits visible in the current diff: the empty state now guards on !archivedLoading, and archiveTask has a .catch() that logs and toasts on failure. Patterns (useHostTRPC in UI hooks, optimistic cache update, zustand persistence) are all established conventions used throughout the codebase.