화면 하단 여백 · 로그아웃 진행 · 스낵바 강조색 · TODAY'S QUEST 관리자 퀘스트 3개

app/lib/features/my/support_screens.dart

@@ -5,6 +5,7 @@ import '../../core/ui/relative_time.dart';
 import 'my_data.dart';
 import 'widgets/my_cards.dart';
 import '../../core/i18n/app_locale.dart';
+import '../../core/ui/bottom_inset.dart';
 
 /// 1:1 문의 목록 — 화면 대조 원장 F6 · Figma `373:634916` 「1:1 문의 접수」.
 ///
@@ -205,7 +206,7 @@ class InquiryDetailScreen extends StatelessWidget {
         ],
       ),
       body: ListView(
-        padding: const EdgeInsets.all(AppSpace.s4),
+        padding: withBottomInset(context, const EdgeInsets.all(AppSpace.s4)),
         children: [
           Text(inquiry.title, style: t.titleMedium),
           const SizedBox(height: AppSpace.s2),
@@ -296,7 +297,7 @@ class _InquiryComposeScreenState extends State<InquiryComposeScreen> {
       ],
     ),
     body: ListView(
-      padding: const EdgeInsets.all(AppSpace.s4),
+      padding: withBottomInset(context, const EdgeInsets.all(AppSpace.s4)),
       children: [
         TextField(
           controller: _title,