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/.eslintrc.js

@@ -2,6 +2,21 @@
 module.exports = {
   extends: 'expo',
   ignorePatterns: ['/dist/*'],
+  rules: {
+    // eslint-config-expo (SDK 56) pulls eslint-plugin-react-hooks v7, whose
+    // recommended config adds React Compiler era rules as errors. Existing
+    // patterns this codebase relies on deliberately (the "latest value" ref
+    // pattern, effect-driven setState, dynamically created inline
+    // components, and manual memoization) trip these new rules throughout
+    // the app. Adopting the stricter rules is a deliberate follow-up
+    // refactor, not an SDK upgrade side effect, so they are downgraded to
+    // warnings here.
+    'react-hooks/refs': 'warn',
+    'react-hooks/set-state-in-effect': 'warn',
+    'react-hooks/immutability': 'warn',
+    'react-hooks/preserve-manual-memoization': 'warn',
+    'react-hooks/static-components': 'warn',
+  },
   overrides: [
     {
       files: ['plugins/**/*.js'],