feat: add mobile application structure with emotion picker and API integration

- Added favicon and icon assets for the mobile app.
- Implemented EmotionPicker component for selecting emotions with child options.
- Created hooks for fetching emotions, feeds, and rapport data.
- Established API service for handling requests and authentication.
- Integrated Zustand for state management of user authentication.
- Defined color palette for the application.
- Set up TypeScript types for various entities including User, Emotion, and Feed.
- Configured Babel and TypeScript for the mobile project.
- Added package.json with necessary dependencies for Expo and React Native.

mobile/package.json

@@ -0,0 +1,37 @@
+{
+  "name": "cesizen-mobile",
+  "version": "1.0.0",
+  "main": "expo-router/entry",
+  "scripts": {
+    "start": "expo start",
+    "android": "expo start --android",
+    "ios": "expo start --ios",
+    "web": "expo start --web"
+  },
+  "dependencies": {
+    "expo": "~53.0.0",
+    "expo-router": "~5.0.0",
+    "expo-status-bar": "~2.2.0",
+    "expo-secure-store": "~14.2.0",
+    "expo-font": "~13.3.0",
+    "react": "19.0.0",
+    "react-native": "0.79.2",
+    "react-native-safe-area-context": "5.4.0",
+    "react-native-screens": "~4.10.0",
+    "react-native-reanimated": "~3.17.4",
+    "react-native-gesture-handler": "~2.24.0",
+    "@react-navigation/bottom-tabs": "^7.3.0",
+    "@expo/vector-icons": "^14.0.0",
+    "zustand": "^5.0.0",
+    "@tanstack/react-query": "^5.0.0",
+    "axios": "^1.7.0",
+    "react-native-svg": "~16.0.0",
+    "victory-native": "^41.0.0"
+  },
+  "devDependencies": {
+    "@babel/core": "^7.25.0",
+    "@types/react": "~19.0.0",
+    "typescript": "~5.8.0"
+  },
+  "private": true
+}