[FEATURE] Implement Public Profile Page with Visibility Toggle

[sanaderi]

Implement a public profile page based on the provided Figma design. Users should be able to view any profile by ID, and control whether their own profile is visible or hidden.

Requirements

Public Profile Page

• Create a public profile page matching the Figma design
• Anyone can view a profile at /profile/{id}
• Display profile information including name, avatar, bio, and other relevant fields

Profile Visibility Control

• Allow users to switch their profile between visible and hidden modes
• When a profile is hidden, others should not be able to view it
• Add a visibility toggle on the user's own profile page

API Endpoints

• GET /api/v1/identities/profiles/{id} - Fetch profile data for viewing
• PUT /api/v1/identities/profiles - Update profile visibility setting

Acceptance Criteria

• Public profile page matches Figma design
• Profile is accessible via /profile/{id} URL
• Profile information displays correctly
• Hidden profiles show appropriate message (e.g., "Profile not available")
• Users can toggle their profile visibility on/off
• Visibility change saves and persists after page refresh
• Toggle is easy to find and use (per design)