Real-time comment sync, MCP server expansion, multi-tab terminal, UI fixes

- 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>

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