feat(web): show cumulative fan range and limit recent records

tests/test_web_server.py

@@ -102,6 +102,15 @@ def test_readonly_routes_and_static():
             assert status == 200
             assert json.loads(payload)["data"]["sort"] == "avg_views"
 
+            status, _, payload = running.request("/api/fans?days=7&recent_days=14")
+            assert status == 200
+            fans = json.loads(payload)["data"]
+            assert fans["recent_days"] == 14
+            assert all(
+                point["stat_date"] >= "2026-10-18"
+                for point in fans["recent_points"]
+            )
+
             status, headers, payload = running.request("/api/videos", method="HEAD")
             assert status == 200 and payload == b""
             assert "Content-Length" in headers