feat(mobile): share intent support

[hyoban]

Description

PR Type

• Feature
• Bugfix
• Hotfix
• Other (please describe):

Screenshots (if UI change)

Demo Video (if new feature)

Simulator.Screen.Recording.-.iPhone.16.Pro.-.2025-05-13.at.22.17.31.mp4

Linked Issues

• [BUG] iOS - eas cloud build fails: absolute local path to ShareExtension/ShareExtension.entitlements achorein/expo-share-intent#148
• [BUG] iOS/Android - Duplicate PrivacyInfo.xcprivacy achorein/expo-share-intent#149

Additional context

Changelog

• I have updated the changelog/next.md with my changes.

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[follow-reviewer-bot]

Suggested PR Title:

feat(ios): add Share Extension for receiving web and media

Change Summary:
This PR introduces a native iOS Share Extension to the mobile app, allowing users to share web URLs, text, images, videos, PDFs, and other files directly into the app. Key changes include:

• Addition of a Share Extension target and related files (Swift controller, storyboard, entitlements, javascript preprocessor, plist/configs).
• Integration of the expo-share-intent package and registration in app config and package.json.
• App Group configuration for seamless data sharing between host and extension.
• Updates to React hooks and Discover module to launch search flows from shared content.
• Minor fixes and enhancements to navigation, state management, and search UI to support incoming intent/share payloads.
• Patch added for Xcode project compatibility.

Impact: Users can now share content from other apps into this app via the native iOS share sheet, improving discoverability and user engagement.

Code Review:
No change requests necessary.

[Innei]

The effect of jumping to the app during the sharing process is not good, and it should use a floating ViewController to operate on the upper layer of the current app.