feat: show dish recognition result as bottom sheet on home screen

Remove "Определить блюдо" from ScanScreen and the /scan/dish route.
The + button on each meal card now triggers dish recognition inline —
picks image, shows loading dialog, then presents DishResultSheet as a
modal bottom sheet. After adding to diary the sheet closes and the user
stays on home.

Also fix Navigator.pop crash: showDialog uses the root navigator by
default, so capture Navigator.of(context, rootNavigator: true) before
the async gap and use it to close the loading dialog.

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

client/lib/features/home/home_screen.dart

@@ -4,6 +4,7 @@ import 'package:cached_network_image/cached_network_image.dart';
 import 'package:flutter/material.dart';
 import 'package:flutter_riverpod/flutter_riverpod.dart';
 import 'package:go_router/go_router.dart';
+import 'package:image_picker/image_picker.dart';
 
 import '../../core/theme/app_colors.dart';
 import '../../shared/models/diary_entry.dart';
@@ -11,6 +12,8 @@ import '../../shared/models/home_summary.dart';
 import '../../shared/models/meal_type.dart';
 import '../menu/menu_provider.dart';
 import '../profile/profile_provider.dart';
+import '../scan/dish_result_screen.dart';
+import '../scan/recognition_service.dart';
 import 'home_provider.dart';
 
 // ── Root screen ───────────────────────────────────────────────
@@ -727,6 +730,93 @@ class _DailyMealsSection extends ConsumerWidget {
   }
 }
 
+Future<void> _pickAndShowDishResult(
+  BuildContext context,
+  WidgetRef ref,
+  String mealTypeId,
+) async {
+  // 1. Choose image source
+  final source = await showModalBottomSheet<ImageSource>(
+    context: context,
+    builder: (_) => SafeArea(
+      child: Column(
+        mainAxisSize: MainAxisSize.min,
+        children: [
+          ListTile(
+            leading: const Icon(Icons.camera_alt),
+            title: const Text('Камера'),
+            onTap: () => Navigator.pop(context, ImageSource.camera),
+          ),
+          ListTile(
+            leading: const Icon(Icons.photo_library),
+            title: const Text('Галерея'),
+            onTap: () => Navigator.pop(context, ImageSource.gallery),
+          ),
+        ],
+      ),
+    ),
+  );
+  if (source == null || !context.mounted) return;
+
+  // 2. Pick image
+  final image = await ImagePicker().pickImage(
+    source: source,
+    imageQuality: 70,
+    maxWidth: 1024,
+    maxHeight: 1024,
+  );
+  if (image == null || !context.mounted) return;
+
+  // 3. Show loading
+  // Capture root navigator now (before await) to avoid using the wrong one later.
+  // showDialog defaults to useRootNavigator: true; Navigator.pop(context) would resolve
+  // to GoRouter's inner navigator instead, which only has /home and would crash.
+  final rootNavigator = Navigator.of(context, rootNavigator: true);
+  showDialog(
+    context: context,
+    barrierDismissible: false,
+    builder: (_) => const AlertDialog(
+      content: Column(
+        mainAxisSize: MainAxisSize.min,
+        children: [
+          CircularProgressIndicator(),
+          SizedBox(height: 16),
+          Text('Распознаём...'),
+        ],
+      ),
+    ),
+  );
+
+  // 4. Call API
+  try {
+    final dish = await ref.read(recognitionServiceProvider).recognizeDish(image);
+    if (!context.mounted) return;
+    rootNavigator.pop(); // close loading
+
+    // 5. Show result as bottom sheet
+    showModalBottomSheet(
+      context: context,
+      isScrollControlled: true,
+      useSafeArea: true,
+      builder: (sheetContext) => DishResultSheet(
+        dish: dish,
+        preselectedMealType: mealTypeId,
+        onAdded: () => Navigator.pop(sheetContext),
+      ),
+    );
+  } catch (recognitionError) {
+    debugPrint('Dish recognition error: $recognitionError');
+    if (context.mounted) {
+      rootNavigator.pop(); // close loading
+      ScaffoldMessenger.of(context).showSnackBar(
+        const SnackBar(
+          content: Text('Не удалось распознать. Попробуйте ещё раз.'),
+        ),
+      );
+    }
+  }
+}
+
 class _MealCard extends ConsumerWidget {
   final MealTypeOption mealTypeOption;
   final List<DiaryEntry> entries;
@@ -769,8 +859,8 @@ class _MealCard extends ConsumerWidget {
                   icon: const Icon(Icons.add, size: 20),
                   visualDensity: VisualDensity.compact,
                   tooltip: 'Добавить блюдо',
-                  onPressed: () =>
-                      context.push('/scan', extra: mealTypeOption.id),
+                  onPressed: () => _pickAndShowDishResult(
+                      context, ref, mealTypeOption.id),
                 ),
               ],
             ),