Bump TypeScript to 6.0.3

[m-bert]

Description

Currently we use TypeScript 5. Starting from 0.87, React Native uses TyoeScript 6. I think it is good time to adapt to these changes and bump it in our repository.

I've left docs since they are not part of workspaces.

Test plan

• yarn ts-check
• Installed Gesture Handler from generated package

[m-bert]

Let me know if you prefer to revert Podfile locks changes.

[Copilot]

Pull request overview

This PR updates the repo to TypeScript 6.0.3 to align with React Native (>= 0.87) moving to TS 6, and adjusts TypeScript configuration and lockfiles accordingly across the monorepo workspaces and example apps.

Changes:

• Bump TypeScript to ~6.0.3 in the root and workspace package.json files and refresh yarn.lock.
• Switch the root TS config to moduleResolution: "bundler" and adjust per-workspace TS build config (rootDir).
• Refresh iOS/macOS CocoaPods lockfiles (notably RNReanimated patch updates).

Reviewed changes

Copilot reviewed 9 out of 13 changed files in this pull request and generated 2 comments.

Show a summary per file

File	Description
yarn.lock	Updates locked dependency graph to reflect TypeScript 6 and related resolution changes.
tsconfig.json	Switches TS module resolution to bundler (TS6-friendly for RN) and adjusts shared compiler options.
packages/react-native-gesture-handler/tsconfig.build.json	Sets rootDir for package build compilation.
packages/react-native-gesture-handler/package.json	Bumps workspace devDependency TypeScript version.
package.json	Bumps root devDependency TypeScript version.
apps/macos-example/package.json	Bumps TypeScript version used by the macOS example app.
apps/macos-example/macos/Podfile.lock	Updates CocoaPods lockfile (RNReanimated patch/version checksum changes).
apps/expo-example/package.json	Bumps TypeScript version used by the Expo example app.
apps/common-app/tsconfig.json	Adjusts app TS config in response to shared TS config changes.
apps/common-app/package.json	Bumps TypeScript version used by the shared example app sources.
apps/basic-example/tsconfig.json	Adjusts basic-example TS config formatting/options.
apps/basic-example/package.json	Bumps TypeScript version used by the basic example app.
apps/basic-example/ios/Podfile.lock	Updates CocoaPods lockfile (RNReanimated patch/version checksum changes).

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