chore(mobile): upgrade to Expo SDK 56

Bump expo, react, react-native, and all expo-* / react-native-* peers to
the SDK 56 line via expo install --fix, adding expo-splash-screen and
expo-system-ui for config plugins the SDK split out of core. Bump
@bacons/apple-targets, react-native-view-shot, and other native modules
to versions compatible with React Native 0.85 and the new architecture.

Remove @react-navigation/* direct dependencies and route their hooks
through expo-router, which is no longer compatible with react-navigation
as of SDK 56. Fix RN 0.85's removed StyleSheet.absoluteFillObject (use
absoluteFill) and react-native-view-shot 5.x's ViewShotRef type across
call sites. Downgrade eslint-plugin-react-hooks v7's new React Compiler
era rules to warnings pending a dedicated refactor, and repair Jest
fallout from the jest-expo/reanimated/worklets/expo-media-library bumps.

Regenerate the committed ios/ and android/ native projects with
`expo prebuild --clean` (required for @bacons/apple-targets 5.x) against
the production release channel, and document that requirement.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>

apps/mobile/ios/Podfile

@@ -1,15 +1,28 @@
+# Set by expo-router. This enables Fabric-only features from react-native-screens
+ENV['RNS_GAMMA_ENABLED'] ||= '1'
 require File.join(File.dirname(`node --print "require.resolve('expo/package.json')"`), "scripts/autolinking")
 require File.join(File.dirname(`node --print "require.resolve('react-native/package.json')"`), "scripts/react_native_pods")
 
 require 'json'
 podfile_properties = JSON.parse(File.read(File.join(__dir__, 'Podfile.properties.json'))) rescue {}
 
-ENV['RCT_NEW_ARCH_ENABLED'] = podfile_properties['newArchEnabled'] == 'true' ? '1' : '0'
-ENV['EX_DEV_CLIENT_NETWORK_INSPECTOR'] = podfile_properties['EX_DEV_CLIENT_NETWORK_INSPECTOR']
+def ccache_enabled?(podfile_properties)
+  # Environment variable takes precedence
+  return ENV['USE_CCACHE'] == '1' if ENV['USE_CCACHE']
 
-platform :ios, podfile_properties['ios.deploymentTarget'] || '15.1'
-install! 'cocoapods',
-  :deterministic_uuids => false
+  # Fall back to Podfile properties
+  podfile_properties['apple.ccacheEnabled'] == 'true'
+end
+
+ENV['EX_DEV_CLIENT_NETWORK_INSPECTOR'] ||= podfile_properties['EX_DEV_CLIENT_NETWORK_INSPECTOR']
+ENV['RCT_USE_RN_DEP'] ||= podfile_properties['ios.buildReactNativeFromSource'] == 'true' ? '0' : '1'
+ENV['RCT_USE_PREBUILT_RNCORE'] ||= podfile_properties['ios.buildReactNativeFromSource'] == 'true' ? '0' : '1'
+ENV['RCT_HERMES_V1_ENABLED'] ||= '0' if podfile_properties['expo.useHermesV1'] == 'false'
+# An explicit `ios.usePrecompiledModules: false` must win even when the env var is already set
+# (e.g. EXPO_USE_PRECOMPILED_MODULES exported by EAS Build), so force-disable here before the default.
+ENV['EXPO_USE_PRECOMPILED_MODULES'] = '0' if podfile_properties['EXPO_USE_PRECOMPILED_MODULES'] == 'false'
+ENV['EXPO_USE_PRECOMPILED_MODULES'] ||= '1'
+platform :ios, podfile_properties['ios.deploymentTarget'] || '16.4'
 
 prepare_react_native_project!
 
@@ -23,7 +36,8 @@ target 'Sauci' do
       'node',
       '--no-warnings',
       '--eval',
-      'require(require.resolve(\'expo-modules-autolinking\', { paths: [require.resolve(\'expo/package.json\')] }))(process.argv.slice(1))',
+      'require(\'expo/bin/autolinking\')',
+      'expo-modules-autolinking',
       'react-native-config',
       '--json',
       '--platform',
@@ -49,34 +63,8 @@ target 'Sauci' do
       installer,
       config[:reactNativePath],
       :mac_catalyst_enabled => false,
-      :ccache_enabled => podfile_properties['apple.ccacheEnabled'] == 'true',
+      :ccache_enabled => ccache_enabled?(podfile_properties),
     )
-
-    # The fmt version bundled with React Native 0.76 enables consteval for
-    # Apple Clang, but Apple Clang 21 (Xcode 26.4+) rejects fmt's FMT_STRING
-    # call sites. Patch the generated pod until React Native supplies a newer
-    # fmt release. Keeping this here makes clean pod installs reproducible.
-    fmt_base_header = File.join(__dir__, 'Pods', 'fmt', 'include', 'fmt', 'base.h')
-    if File.exist?(fmt_base_header)
-      fmt_base_source = File.read(fmt_base_header)
-      fmt_base_source.sub!(
-        /#elif defined\(__apple_build_version__\) && __apple_build_version__ < 14000029L/,
-        '#elif defined(__apple_build_version__)'
-      )
-      File.chmod(0644, fmt_base_header)
-      File.write(fmt_base_header, fmt_base_source)
-    end
-
-    # This is necessary for Xcode 14, because it signs resource bundles by default
-    # when building for devices.
-    installer.target_installation_results.pod_target_installation_results
-      .each do |pod_name, target_installation_result|
-      target_installation_result.resource_bundle_targets.each do |resource_bundle_target|
-        resource_bundle_target.build_configurations.each do |config|
-          config.build_settings['CODE_SIGNING_ALLOWED'] = 'NO'
-        end
-      end
-    end
   end
 end