feat(mobile): share intent support

[hyoban]

Description

PR Type

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

Screenshots (if UI change)

Demo Video (if new feature)

https://github.com/user-attachments/assets/f0de3752-0380-49c9-84d6-0a5177b9440b

Linked Issues

• https://github.com/achorein/expo-share-intent/issues/148
• https://github.com/achorein/expo-share-intent/issues/149

Additional context

Changelog

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

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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.