Public View Mode for Profile Screen

### 🚀 The feature

Add a public view mode to the Profile screen that allows users to see how their profile appears to other users. This mode should display only public information and hide owner-only actions such as editing the profile, settings access, and email verification prompts.

### Motivation, pitch

The current Profile screen combines both personal controls and public-facing information, making it unclear how a profile looks to others. A public view mode improves user clarity, helps validate profile visibility, and ensures consistent behavior when viewing other users’ profiles.

### Proposed Approach
- Reuse the existing Profile screen
- Introduce a view mode flag (e.g., `isPublicView`)
- Conditionally hide owner-only UI elements
- Keep layout and components consistent across views