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

web/tsconfig.json

@@ -0,0 +1,17 @@
+{
+	"compilerOptions": {
+		"target": "ES2022",
+		"module": "ESNext",
+		"moduleResolution": "Bundler",
+		"lib": ["ES2022", "DOM", "DOM.Iterable"],
+		"jsx": "react-jsx",
+		"strict": true,
+		"noUncheckedIndexedAccess": true,
+		"verbatimModuleSyntax": true,
+		"allowImportingTsExtensions": true,
+		"noEmit": true,
+		"skipLibCheck": true,
+		"types": ["vite/client"]
+	},
+	"include": ["src/**/*.ts", "src/**/*.tsx", "../src/shared/protocol.ts"]
+}