Polish Live Activity branding and add EAS build config.

Use brand mark and wordmark images in the time clock Live Activity, migrate file copies to the modern expo-file-system File API, and add eas.json for TestFlight production builds.

Co-authored-by: Cursor <cursoragent@cursor.com>

app/_layout.tsx

@@ -12,7 +12,7 @@ import {
 import { useFonts } from "expo-font";
 import * as SplashScreen from "expo-splash-screen";
 import { useEffect, type ReactNode } from "react";
-import { View } from "react-native";
+import { Platform, View } from "react-native";
 import { StatusBar } from "expo-status-bar";
 import "react-native-reanimated";
 import { SafeAreaProvider } from "react-native-safe-area-context";
@@ -23,6 +23,7 @@ import { AccountsProvider, useAccounts } from "@/contexts/AccountsContext";
 import { AuthProvider, useSession } from "@/contexts/AuthContext";
 import { ThemeProvider, useAppTheme } from "@/contexts/ThemeContext";
 import { TRPCProvider } from "@/lib/trpc";
+import { ensureWidgetBrandAssets } from "@/lib/widget-brand-assets";
 
 export { ErrorBoundary } from "expo-router";
 
@@ -76,6 +77,12 @@ export default function RootLayout() {
     }
   }, [loaded]);
 
+  useEffect(() => {
+    if (Platform.OS === "ios") {
+      void ensureWidgetBrandAssets();
+    }
+  }, []);
+
   if (!loaded) {
     return null;
   }