v1 web interface: dispatch-mode quiz/ask, Fastify+WS server, React frontend, deterministic test suite

- extensions/core/question-core.ts: pure quiz/ask logic (normalize/shuffle/resolve/grade/format) shared by both interfaces
- extensions/core/bridge.ts: in-process server<->extension bridge (answer/dismiss/re-arm)
- extensions/quiz-web.ts + ask-web.ts: web dispatch mode — tool returns immediately, graded answer arrives as next user message; sessions resumable mid-question via lh_question/lh_question_answered custom entries (never in LLM context)
- extensions/quiz.ts: refactored onto shared core (terminal blocking mode unchanged)
- src/server/index.ts: Fastify + WebSocket; REST (list/create/resume), entry sync (diff-based, all message kinds), streaming deltas, pending-question push
- web/: Vite + React — home view (graph placeholder, session list, new-session input), session view (markdown+KaTeX+mermaid transcript, quiz cards, streaming)
- src/testing/scripted-model.ts: deterministic fake LLM (scripted model runtime injected via factory overrides)
- tests/: 48 deterministic tests (unit: question-core + bridge; integration: full pi loop with scripted model incl. resume re-arm)
- scripts/e2e.ts: live smoke test (manual, real LLM, never a gate)
- teacher/system-prompt.md: end-your-turn rule for question tools

src/cli.ts

@@ -3,7 +3,9 @@
  * learning-harness CLI
  *
  *   teach [message]   launch an interactive teaching session (full pi TUI)
- *   doctor            non-interactive smoke test of the teacher wiring
+ *   doctor [--web]    non-interactive smoke test of the teacher wiring
+ *                     (--web checks the web-dispatch extension set)
+ *   serve             start the web server (teacher agent + REST + WebSocket)
  *   ingest <file>     normalize a session JSONL and print the canonical document
  *                     (Stage 1 only — extractor/merger not yet implemented)
  *   graph             print graph/ledger stats
@@ -26,7 +28,8 @@ async function main() {
 			break;
 		}
 		case "doctor": {
-			await doctor();
+			const mode = rest.includes("--web") ? "web" : "tui";
+			await doctor(mode);
 			break;
 		}
 		case "ingest": {