New MCP tools for agents to debug LaTeX compilation:
- get_compile_errors: parsed errors with file paths and line numbers
- get_compile_warnings: parsed warnings with locations
- get_compile_log: full raw log with optional tail parameter
- compile_latex: improved to fetch log via CDN URL, return error summary

Log parsing uses the same Overleaf-style parser as the PdfViewer component.
Updated CLAUDE.md template with compile-debug workflow documentation.

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

- Fix Socket.IO v0.9 ack parser to handle acks without data (6:::N format),
  fixing comment creation stuck at "sending"
- Rewrite comment sync to use local state updates from socket events
  (new-comment, resolve-thread, reopen-thread, delete-thread, edit-message,
  delete-message) instead of REST re-fetches — instant UI updates
- Optimistic updates for all comment actions (resolve, reopen, delete, reply, edit)
- Fetch threads + contexts on project connect so editor highlights are correct
  from startup, not only when review panel is opened
- Add comment context to store immediately after creation for instant highlight
- Rename MCP server from overleaf-comments to lattex, add 6 new tools:
  reopen_comment, delete_comment, get_chat_messages, send_chat_message,
  list_project_files, compile_latex — all auto-granted permissions
- Refactor terminal from fixed Terminal/Claude tabs to dynamic multi-tab with
  bottom tab bar and unlimited new terminal creation
- Fix chat panel layout overflow pushing other components

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>