remove legacy in-memory search state fallback

tests/unit/test_scholar_source.py

@@ -0,0 +1,13 @@
+from app.services.scholar_source import _build_profile_url
+
+
+def test_build_profile_url_includes_pagesize_for_initial_page() -> None:
+    url = _build_profile_url(
+        scholar_id="abcDEF123456",
+        cstart=0,
+        pagesize=100,
+    )
+
+    assert "user=abcDEF123456" in url
+    assert "pagesize=100" in url
+    assert "cstart=" not in url