Add CI pipeline, pre-commit hooks, and offline caching

Configure GitHub Actions for linting, typechecking, and testing.
Add Husky and lint-staged for pre-commit checks. Implement API
response caching in AsyncStorage for offline support. Move core
tests to packages/core and add vitest configuration.

apps/mobile/jest.config.cjs

@@ -5,4 +5,7 @@ module.exports = {
     '^@react-native-async-storage/async-storage$':
       '@react-native-async-storage/async-storage/jest/async-storage-mock',
   },
+  transformIgnorePatterns: [
+    'node_modules/(?!((jest-)?react-native|@react-native(-community)?)|expo(nent)?|@expo(nent)?/.*|@expo-google-fonts/.*|react-navigation|@react-navigation/.*|@unimodules/.*|unimodules|sentry-expo|native-base|@sentry/.*|@fortawesome/.*)',
+  ],
 };