fix(web): keep rectification emit types compatible with next build

The spoken/thinking splitter must accept sync or async emit, matching the runner input type.

Co-authored-by: Cursor <cursoragent@cursor.com>

docs/BUG_HISTORY.md

@@ -5413,7 +5413,7 @@
 - 触发条件：生时纠正已读取 Case 且工具成功后，模型把中文过程自述写进 `text-delta`。
 - 根因：BUG-354 为保住正文预算关闭了纠正 provider thinking。`reasoning-delta` 不再出现，中文自述改走 `text-delta`。契约门只在 Case 未加载或工具失败时把正文改送到 `thinking.delta`；工具成功后全部当作回答。界面上思考折叠和正文也没有咨询页那种「思考 / 回复」分层。
 - 修复：保持 `thinking: disabled` 与 16384 正文预算。对已加载 Case 的 `text-delta` 按段落拆成过程自述与口语结论：自述进 `thinking.delta`，结论进 `answer.delta` 并作为落盘正文。界面与咨询对齐：折叠「思考」（13px 次要色，有正文后默认收起）和完整「回复」。
-- 验证：`frontend/tests/rectification-spoken-answer.test.ts`、`frontend/tests/rectification-v9-stream.test.ts`、`frontend/tests/rectification-agentic-entry.test.ts`、`frontend/tests/chat-stream-layout.test.ts`
+- 验证：`frontend/tests/rectification-spoken-answer.test.ts`、`frontend/tests/rectification-v9-stream.test.ts`、`frontend/tests/rectification-agentic-entry.test.ts`、`frontend/tests/chat-stream-layout.test.ts`；`tsc --noEmit` 通过。口语/思考拆分的 `emit` 类型必须与 `RunV9AgentTurnInput.emit` 同为 `Promise<void> | void`，否则 Docker `next build` 会在 publish 阶段失败。
 - 防复发：纠正组答不得在不拆开正文预算的情况下重开 provider thinking 来充当思考 UI。`answer.delta` 不得承载 skill/schema/batch 过程自述。思考与回复必须分层渲染，不得共用同一段正文样式。
 - 相关记录：BUG-345、BUG-354、BUG-356
 - 复发自：BUG-345（关 thinking 后自述改走正文）、BUG-354（纠正与咨询一并关闭 provider thinking）

frontend/src/lib/rectification-agentic/v9/agent-run.ts

@@ -843,7 +843,7 @@ async function publishSplitSpokenAndThinking(
   publishedSpoken: string,
   answerText: string,
   publish: (event: PublicStreamEvent) => Promise<void>,
-  emit: (event: PublicStreamEvent) => Promise<void>,
+  emit: (event: PublicStreamEvent) => Promise<void> | void,
   finalize = false,
 ): Promise<{ thinking: string; spoken: string; spokenDelta: string }> {
   const split = finalize

frontend/tests/rectification-agentic-entry.test.ts

@@ -237,6 +237,8 @@ test("usage completes or releases without hiding settlement failures", () => {
   assert.match(run, /thinking: "disabled"/);
   assert.match(run, /toPublicThinkingDelta/);
   assert.match(run, /splitRectificationSpokenAndThinking/);
+  assert.match(run, /emit\(event: PublicStreamEvent\): Promise<void> \| void;/);
+  assert.match(run, /emit: \(event: PublicStreamEvent\) => Promise<void> \| void,/);
   assert.match(route, /featureKey: "rectification"/);
   assert.match(route, /rectification:case:\$\{caseId\}/);
 });