feat: add support for [email protected] (#2581)

## Description

Adding support for react-native 0.77. 
After this PR is merged the library will support 0.74+ Paper and 0.77
Fabric.

Please note, that I haven't notice any not-handled breaking changes -
the library should work with versions down to 0.72 on old architecture
and at least down to 0.76 on Fabric, however we won't extend issue
resolving to these versions.

## Changes

* adjusted example apps on both architectures with changes from upgrade
helper,
* bumped `safe-area-context` to 5.0.0 (it comes with support for Paper
0.74+) in examples (not lib!),
* patched `safe-area-context`:
* AppAndFlow/react-native-safe-area-context#566
* Removed patches for and dependencies on reanimated and gesture-handler
- awaiting for support, see below 👇🏻 (comment) <-- **this must be
restored for e2e to work!!!**
* Reanimated uses [the
patch](software-mansion/react-native-reanimated#6768 (comment))
* Gesture handler has been set to [current
main](https://github.com/software-mansion/react-native-gesture-handler/tree/c3ced78e1608e63b5b3a9bca0c66cc11f4029605)



## Test code and steps to reproduce

When doing some quick checks I haven't noticed any obvious regressions.

## Checklist

- [ ] Ensured that CI passes

---------

Co-authored-by: Marc Rousavy <[email protected]>

Example/Gemfile

@@ -6,3 +6,4 @@ ruby ">= 2.6.10"
 # Exclude problematic versions of cocoapods and activesupport that causes build failures.
 gem 'cocoapods', '>= 1.13', '!= 1.15.0', '!= 1.15.1'
 gem 'activesupport', '>= 6.1.7.5', '!= 7.1.0'
+gem 'xcodeproj', '< 1.26.0'

Example/android/build.gradle

@@ -4,8 +4,8 @@ buildscript {
         minSdkVersion = 24
         compileSdkVersion = 35
         targetSdkVersion = 34
-        ndkVersion = "26.1.10909125"
-        kotlinVersion = "1.9.24"
+        ndkVersion = "27.1.12297006"
+        kotlinVersion = "2.0.21"
     }
     repositories {
         google()

Example/ios/AppDelegate.swift

@@ -0,0 +1,30 @@
+import UIKit
+import React
+import React_RCTAppDelegate
+import ReactAppDependencyProvider
+
+@main
+class AppDelegate: RCTAppDelegate {
+  override func application(_ application: UIApplication, didFinishLaunchingWithOptions launchOptions: [UIApplication.LaunchOptionsKey : Any]? = nil) -> Bool {
+    self.moduleName = "ScreensExample"
+    self.dependencyProvider = RCTAppDependencyProvider()
+
+    // You can add your custom initial props in the dictionary below.
+    // They will be passed down to the ViewController used by React Native.
+    self.initialProps = [:]
+
+    return super.application(application, didFinishLaunchingWithOptions: launchOptions)
+  }
+
+  override func sourceURL(for bridge: RCTBridge) -> URL? {
+    self.bundleURL()
+  }
+
+  override func bundleURL() -> URL? {
+#if DEBUG
+    RCTBundleURLProvider.sharedSettings().jsBundleURL(forBundleRoot: "index")
+#else
+    Bundle.main.url(forResource: "main", withExtension: "jsbundle")
+#endif
+  }
+}

Example/ios/Podfile

@@ -26,11 +26,6 @@ target 'ScreensExample' do
     :app_path => "#{Pod::Config.instance.installation_root}/.."
   )
 
-  target 'ScreensExampleTests' do
-    inherit! :complete
-    # Pods for testing
-  end
-
   post_install do |installer|
     # https://github.com/facebook/react-native/blob/main/packages/react-native/scripts/react_native_pods.rb#L197-L202
     react_native_post_install(