fix(rectification): persist the next interview after a choice tap

Closing a discriminator used to leave GET without a card after refresh.
Write the next dated question in the same request, skip childhood career
and move probes, and do not continue a read-only turn when that question
is already persisted.

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

frontend/tests/rectification-step-answer.test.ts

@@ -28,9 +28,14 @@ test("does not publish intermediate tool-step text as answer.delta", () => {
     isPublicTool,
   );
   assert.equal(afterTool.kind, "discard");
-  applyStepAnswerChunk(state, chunk("text-delta", { text: "记下了，2020年4月开始实习。" }), isPublicTool);
+  const live = applyStepAnswerChunk(
+    state,
+    chunk("text-delta", { text: "记下了，2020年4月开始实习。" }),
+    isPublicTool,
+  );
+  assert.deepEqual(live, { kind: "live", text: "记下了，2020年4月开始实习。" });
   const finish = applyStepAnswerChunk(state, chunk("step-finish", { reason: "stop" }), isPublicTool);
-  assert.deepEqual(finish, { kind: "publish", pieces: ["记下了，2020年4月开始实习。"] });
+  assert.equal(finish.kind, "none");
 });
 
 test("never publishes reasoning-delta to the browser", () => {
@@ -47,7 +52,76 @@ test("publishes only the terminal no-tool step as assistant text", () => {
   applyStepAnswerChunk(state, chunk("step-finish", { stepResult: { reason: "tool-calls" } }), isPublicTool);
   assert.equal(shouldPublishStepText({ calledTool: true, text: "_probe" }, "tool-calls"), false);
   applyStepAnswerChunk(state, chunk("step-start"), isPublicTool);
-  applyStepAnswerChunk(state, chunk("text-delta", { text: "已经记下实习。" }), isPublicTool);
+  const live = applyStepAnswerChunk(state, chunk("text-delta", { text: "已经记下实习。" }), isPublicTool);
+  assert.deepEqual(live, { kind: "live", text: "已经记下实习。" });
   const finish = flushStepAnswerOnStreamFinish(state, "stop");
-  assert.deepEqual(finish, { kind: "publish", pieces: ["已经记下实习。"] });
+  assert.equal(finish.kind, "none");
+});
+
+test("streams terminal Chinese tokens live after compare", () => {
+  const state = createStepAnswerState();
+  applyStepAnswerChunk(
+    state,
+    chunk("tool-result", { toolName: "rectification-compare-candidates" }),
+    isPublicTool,
+  );
+  const first = applyStepAnswerChunk(state, chunk("text-delta", { text: "记下了，" }), isPublicTool);
+  const second = applyStepAnswerChunk(
+    state,
+    chunk("text-delta", { text: "2020年4月开始实习。" }),
+    isPublicTool,
+  );
+  assert.deepEqual(first, { kind: "live", text: "记下了，" });
+  assert.deepEqual(second, { kind: "live", text: "2020年4月开始实习。" });
+  assert.equal(applyStepAnswerChunk(state, chunk("step-finish", { reason: "stop" }), isPublicTool).kind, "none");
+});
+
+test("retracts a live spoken prefix if that step later calls a public tool", () => {
+  const state = createStepAnswerState();
+  applyStepAnswerChunk(
+    state,
+    chunk("tool-result", { toolName: "rectification-compare-candidates" }),
+    isPublicTool,
+  );
+  assert.deepEqual(
+    applyStepAnswerChunk(state, chunk("text-delta", { text: "记下了，" }), isPublicTool),
+    { kind: "live", text: "记下了，" },
+  );
+  const retracted = applyStepAnswerChunk(
+    state,
+    chunk("tool-call", { toolName: "rectification-read-diagnostics" }),
+    isPublicTool,
+  );
+  assert.equal(retracted.kind, "retract");
+  applyStepAnswerChunk(
+    state,
+    chunk("tool-result", { toolName: "rectification-read-diagnostics" }),
+    isPublicTool,
+  );
+  const spoken = applyStepAnswerChunk(
+    state,
+    chunk("text-delta", { text: "诊断已经看过。接下来确认入职年份。" }),
+    isPublicTool,
+  );
+  assert.deepEqual(spoken, { kind: "live", text: "诊断已经看过。接下来确认入职年份。" });
+});
+
+test("does not live-publish English planning before a tool-call", () => {
+  const state = createStepAnswerState();
+  assert.equal(
+    applyStepAnswerChunk(state, chunk("text-delta", { text: "Let me set" }), isPublicTool).kind,
+    "none",
+  );
+  assert.equal(
+    applyStepAnswerChunk(state, chunk("text-delta", { text: " _probe" }), isPublicTool).kind,
+    "none",
+  );
+  assert.equal(
+    applyStepAnswerChunk(
+      state,
+      chunk("tool-call", { toolName: "rectification-record-evidence-batch" }),
+      isPublicTool,
+    ).kind,
+    "none",
+  );
 });