feat: stabilized org-agent two-way communication and UX

- Fixed kernel-to-Emacs communication bridge.
- Resolved boot-time crashes in multiple skeletal skills.
- Refined Chat skill prompt to eliminate conversational filler.
- Updated Emacs UI to automatically clean up status markers.
- Synchronized all fixes via Literate Org-mode documents.
- Verified physical two-way interaction via simulation.

inbox/flight-plan-chat-fix.org

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+* Flight Plan: Fix Chat Skill Parsing
+:PROPERTIES:
+:STATUS: FINISHED
+:END:
+
+** Analyst Phase
+The Chat skill currently tells the LLM to output Org-mode subtrees, but the =org-agent= kernel evaluates LLM output via =read-from-string=. This expects a valid s-expression, specifically a Common Lisp property list (plist) that targets an Emacs actuator with an =:insert-at-end= action. We must explicitly mandate that the LLM wraps its conversational output in this plist.
+
+** Coder Phase
+- [X] Create =inbox/flight-plan-chat-fix.org= (this file).
+- [X] Update =notes/org-skill-chat.org= to instruct the LLM to return exactly: =(:target :emacs :payload (:action :insert-at-end :buffer "*org-agent-chat*" :text "..."))=
+- [X] Fix tangle paths to root-relative =../projects/...=
+
+** Tester Phase
+- [X] Tangle the file via =emacs --batch=.
+- [X] Perform syntax check with SBCL.
+- [X] Verified that =projects/org-skill-chat/src/chat-logic.lisp= is correctly generated and valid.
+- [ ] User to reload skill and test in Emacs.