Bump to React Native 0.88

[m-bert]

Description

This PR bumps example app to React Native 0.88

Status

• 0.88.0-rc.2 ✅

• 0.88.0-rc.1 ✅
• 0.88.0-rc.0 ✅

Test plan

Tested that basic-example builds and works correctly.

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[Copilot]

🟡 Changes recommended

Reanimated and Worklets peer ranges do not support RN 0.88; update them and regenerate the lockfile.

Get a fresh assessment by requesting another Copilot review.

Pull request overview

This PR updates the library and basic example to React Native 0.88.0-rc.0 and refreshes iOS dependencies.

Changes:

• Bumps React Native and related tooling.
• Updates the iOS Podfile lockfile for RN 0.88.

File summaries

File	Description
packages/react-native-gesture-handler/package.json	Updates development React Native dependencies.
apps/basic-example/package.json	Updates the example app to React Native 0.88.
apps/basic-example/ios/Podfile.lock	Refreshes React Native and Hermes iOS pods.

Review details

• Files reviewed: 2/4 changed files
• Comments generated: 2
• Review effort level: Lite

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