Render startup immediately and defer native work with a smooth home transition

mobile/lib/app/tp_launch_page.dart

@@ -3,43 +3,50 @@ import 'package:flutter/services.dart';
 
 import '../widgets/tp_logo.dart';
 
-/// The first Flutter frame while saved data and reminder services initialize.
+/// Matching native artwork while saved data initializes.
 class TpLaunchPage extends StatelessWidget {
-  const TpLaunchPage({super.key});
+  const TpLaunchPage({super.key, this.nativeContinuity = false});
+  final bool nativeContinuity;
 
   @override
-  Widget build(BuildContext context) => AnnotatedRegion<SystemUiOverlayStyle>(
-    value: const SystemUiOverlayStyle(
-      statusBarColor: Colors.transparent,
-      statusBarIconBrightness: Brightness.light,
-      statusBarBrightness: Brightness.dark,
-      systemNavigationBarColor: Color(0xFF38B3FF),
-      systemNavigationBarIconBrightness: Brightness.light,
-    ),
-    child: Scaffold(
-      backgroundColor: const Color(0xFF38B3FF),
-      body: DecoratedBox(
-        decoration: const BoxDecoration(gradient: tpBrandGradient),
-        child: SizedBox.expand(
-          child: Center(
-            child: Column(
-              mainAxisSize: MainAxisSize.min,
-              children: [
-                const TpLogo(size: 120, background: false),
-                const SizedBox(height: 20),
-                Text(
-                  'TPSchedule',
-                  style: Theme.of(context).textTheme.headlineSmall?.copyWith(
-                    color: Colors.white,
-                    fontWeight: FontWeight.w600,
-                    letterSpacing: 0.4,
+  Widget build(BuildContext context) => nativeContinuity
+      ? const ColoredBox(
+          color: Color(0xFF38B3FF),
+          child: Center(child: TpLogo(size: 188.8, background: false)),
+        )
+      : AnnotatedRegion<SystemUiOverlayStyle>(
+          value: const SystemUiOverlayStyle(
+            statusBarColor: Colors.transparent,
+            statusBarIconBrightness: Brightness.light,
+            statusBarBrightness: Brightness.dark,
+            systemNavigationBarColor: Color(0xFF38B3FF),
+            systemNavigationBarIconBrightness: Brightness.light,
+          ),
+          child: Scaffold(
+            backgroundColor: const Color(0xFF38B3FF),
+            body: DecoratedBox(
+              decoration: const BoxDecoration(gradient: tpBrandGradient),
+              child: SizedBox.expand(
+                child: Center(
+                  child: Column(
+                    mainAxisSize: MainAxisSize.min,
+                    children: [
+                      const TpLogo(size: 120, background: false),
+                      const SizedBox(height: 20),
+                      Text(
+                        'TPSchedule',
+                        style: Theme.of(context).textTheme.headlineSmall
+                            ?.copyWith(
+                              color: Colors.white,
+                              fontWeight: FontWeight.w600,
+                              letterSpacing: 0.4,
+                            ),
+                      ),
+                    ],
                   ),
                 ),
-              ],
+              ),
             ),
           ),
-        ),
-      ),
-    ),
-  );
+        );
 }