feat: switch main navigation to stateful shell tabs

apps/lib/features/calendar/ui/widgets/bottom_dock.dart

@@ -109,6 +109,7 @@ class BottomDock extends StatelessWidget {
     return Material(
       color: Colors.transparent,
       child: InkWell(
+        key: const ValueKey('bottom_dock_home_button'),
         onTap: onHomeTap,
         borderRadius: BorderRadius.circular(AppRadius.xl),
         child: Container(

apps/lib/features/home/ui/navigation/home_return_policy.dart

@@ -3,7 +3,7 @@ import 'package:go_router/go_router.dart';
 
 import '../../../../core/router/app_routes.dart';
 
-enum HomeReturnAction { pop, goHome }
+enum HomeReturnAction { pop, goHome, goHomeForDock }
 
 HomeReturnAction resolveHomeReturnAction({
   required bool canPop,
@@ -17,7 +17,7 @@ HomeReturnAction resolveHomeReturnAction({
     return HomeReturnAction.goHome;
   }
   if (canPop) {
-    return HomeReturnAction.pop;
+    return HomeReturnAction.goHomeForDock;
   }
   return HomeReturnAction.goHome;
 }
@@ -37,6 +37,7 @@ void returnToHomePreserveState(
       context.pop();
       return;
     case HomeReturnAction.goHome:
+    case HomeReturnAction.goHomeForDock:
       context.go(AppRoutes.homeMain);
       return;
   }