Wire up query history: localStorage session persistence + sidebar UI

apps/ai-service/tests/test_agent.py

@@ -99,6 +99,27 @@ def test_out_of_scope_turn_type_abstains():
     assert reply.reason == "out_of_scope"
 
 
+def test_out_of_scope_price_question_states_the_book_does_not_have_it():
+    """Regression: found live 2026-08-14 that a price question and a
+    genuinely off-topic question ("thời tiết Hà Nội hôm nay?") got the exact
+    same vague message, which never actually says Dược thư has no pricing
+    data at all — it read as "maybe in an appendix not digitized yet"."""
+    agent = _agent(QueryFrame(turn_type="out_of_scope"))
+    reply = agent.handle("Paracetamol giá bao nhiêu tiền một hộp?")
+    assert reply.decision == "abstain"
+    assert reply.reason == "out_of_scope"
+    assert "không chứa" in reply.answer.lower()
+
+
+def test_out_of_scope_offtopic_question_states_supported_scope():
+    agent = _agent(QueryFrame(turn_type="out_of_scope"))
+    reply = agent.handle("Thời tiết Hà Nội hôm nay thế nào?")
+    assert reply.decision == "abstain"
+    assert reply.reason == "out_of_scope"
+    assert "giá bán" not in reply.answer
+    assert "Dược thư" in reply.answer
+
+
 def test_veterinary_phrase_abstains_even_if_the_model_missed_it():
     # The model returned an ordinary-looking frame; the keyword backstop
     # (`rag.policy.looks_non_human`, the same one F-02 wired server-side)