feat: select school terms and smooth refractive Dock motion

mobile/lib/features/school/school_page_probe.dart

@@ -1,5 +1,6 @@
 import 'dart:convert';
 
+import '../../domain/school_term.dart';
 import 'school_navigation_policy.dart';
 
 /// Only serialize recognized table fragments, never a login document.
@@ -14,7 +15,7 @@ const schoolPageProbeScript = r'''(() => {
     } catch (_) { return false; }
   };
   const topUrl = location.href;
-  const result = {topUrl, authenticated: false, pages: []};
+  const result = {topUrl, authenticated: false, pages: [], terms: []};
   if (!trusted(topUrl) || document.querySelector('input[type="password"]')) {
     return JSON.stringify(result);
   }
@@ -34,6 +35,13 @@ const schoolPageProbeScript = r'''(() => {
       ['timetable', '#tbl', '#drpxq'], ['exams', '#sample-table-1', '#xqbh']
     ]) {
       const table = doc.querySelector(tableId), term = doc.querySelector(termId);
+      if (term && term.options && term.options.length <= 146) {
+        for (const option of Array.from(term.options)) {
+          const id = Number(option.value);
+          if (/^[1-9]\d*$/.test(option.value) && id <= 9999 &&
+              !result.terms.includes(id) && result.terms.length < 146) result.terms.push(id);
+        }
+      }
       if (!table || !term || !term.options || term.selectedIndex < 0) continue;
       const selected = term.cloneNode(true);
       Array.from(selected.options).forEach((option, index) => {
@@ -59,9 +67,14 @@ class SchoolTableFragment {
 }
 
 class SchoolPageEvidence {
-  const SchoolPageEvidence(this.authenticated, this.pages);
+  const SchoolPageEvidence(
+    this.authenticated,
+    this.pages, {
+    this.terms = const [],
+  });
   final bool authenticated;
   final List<SchoolTableFragment> pages;
+  final List<SchoolTerm> terms;
 
   static SchoolPageEvidence decode(Object raw, Uri current) {
     dynamic value = raw;
@@ -92,6 +105,22 @@ class SchoolPageEvidence {
         pages.add(SchoolTableFragment(page['kind'] as String, uri, content));
       }
     }
-    return SchoolPageEvidence(value['authenticated'] == true, pages);
+    final terms = <SchoolTerm>[];
+    final candidatesTerms = value['terms'];
+    if (candidatesTerms is List && candidatesTerms.length <= 146) {
+      final ids =
+          candidatesTerms
+              .whereType<int>()
+              .where((id) => id >= 1 && id <= 9999)
+              .toSet()
+              .toList()
+            ..sort((a, b) => b.compareTo(a));
+      terms.addAll(ids.map(SchoolTerm.new));
+    }
+    return SchoolPageEvidence(
+      value['authenticated'] == true,
+      pages,
+      terms: terms,
+    );
   }
 }