Support react-native 0.83 (#3822)

## Description

> [!NOTE]
> No specific changes were necessary to make **Gesture Handler**
compatible with **React Native 0.83**.

This PR bumps basic-example app to React Native 0.83.

## Status

- ## 0.83.0 ✅   
- 0.83.0-rc.4 😶 
- 0.83.0-rc.4 😶 
- 0.83.0-rc.3 ✅
- 0.83.0-rc.2 ✅
- 0.83.0-rc.1 🤔  
- 0.83.0-rc.0 🤔  

## Test plan

Tested that `basic-example` builds and works correctly.

Author: m-bert

apps/basic-example/ios/BasicExample.xcodeproj/project.pbxproj

@@ -182,7 +182,7 @@
 			);
 			runOnlyForDeploymentPostprocessing = 0;
 			shellPath = /bin/sh;
-			shellScript = "set -e\n\nWITH_ENVIRONMENT=\"../../../node_modules/react-native/scripts/xcode/with-environment.sh\"\nREACT_NATIVE_XCODE=\"../../../node_modules/react-native/scripts/react-native-xcode.sh\"\n\n/bin/sh -c \"$WITH_ENVIRONMENT $REACT_NATIVE_XCODE\"\n";
+			shellScript = "set -e\n\nWITH_ENVIRONMENT=\"$REACT_NATIVE_PATH/scripts/xcode/with-environment.sh\"\nREACT_NATIVE_XCODE=\"$REACT_NATIVE_PATH/scripts/react-native-xcode.sh\"\n\n/bin/sh -c \"\\\"$WITH_ENVIRONMENT\\\" \\\"$REACT_NATIVE_XCODE\\\"\"\n";
 		};
 		00EEFC60759A1932668264C0 /* [CP] Embed Pods Frameworks */ = {
 			isa = PBXShellScriptBuildPhase;
@@ -380,6 +380,7 @@
 				);
 				MTL_ENABLE_DEBUG_INFO = YES;
 				ONLY_ACTIVE_ARCH = YES;
+				OTHER_CFLAGS = "$(inherited)";
 				OTHER_CPLUSPLUSFLAGS = (
 					"$(OTHER_CFLAGS)",
 					"-DFOLLY_NO_CONFIG",
@@ -452,6 +453,7 @@
 					"\"$(inherited)\"",
 				);
 				MTL_ENABLE_DEBUG_INFO = NO;
+				OTHER_CFLAGS = "$(inherited)";
 				OTHER_CPLUSPLUSFLAGS = (
 					"$(OTHER_CFLAGS)",
 					"-DFOLLY_NO_CONFIG",