fix: automate graduate timetable read and refine blue glass Dock

mobile/test/support/fake_school_web.dart

@@ -1,4 +1,5 @@
 import 'dart:async';
+import 'dart:convert';
 
 import 'package:webview_flutter_platform_interface/webview_flutter_platform_interface.dart';
 
@@ -25,6 +26,7 @@ class FakeSchoolWeb extends PlatformWebViewController {
   final loads = <String>[];
   String? url;
   Future<Object> Function(String)? javascript;
+  Future<void> Function(Uri)? request;
   @override
   Future<void> setJavaScriptMode(JavaScriptMode mode) async {}
   @override
@@ -35,6 +37,7 @@ class FakeSchoolWeb extends PlatformWebViewController {
   Future<void> loadRequest(LoadRequestParams params) async {
     url = params.uri.toString();
     loads.add(url!);
+    await request?.call(params.uri);
   }
 
   @override
@@ -100,3 +103,18 @@ Future<void> flushSchoolEvents() async {
     await Future<void>.delayed(Duration.zero);
   }
 }
+
+String schoolPageEvidence({
+  required String topUrl,
+  bool authenticated = false,
+  String? html,
+  String? documentUrl,
+  String kind = 'timetable',
+}) => jsonEncode({
+  'topUrl': topUrl,
+  'authenticated': authenticated,
+  'pages': [
+    if (html != null)
+      {'kind': kind, 'url': documentUrl ?? topUrl, 'html': html},
+  ],
+});