Account/profile interactions are non-functional and must support GitHub avatar + actions

[Yashb404]

Summary

Clicking account/profile currently does not expose expected actions, and GitHub avatar should be displayed for authenticated users.

Current Behavior

• Profile/account click does nothing or is inconsistent.
• GitHub avatar is not shown reliably.

Expected Behavior

• Profile click opens a usable account menu.
• GitHub avatar appears from auth session data.
• Common actions (Profile, Settings, Sign out) are available.

Scope

• Build profile dropdown/menu interaction.
• Map actions to correct routes.
• Pull and render avatar URL from session/auth payload.
• Add graceful fallback avatar when unavailable.

Acceptance Criteria

• Profile/account click opens menu consistently.
• GitHub avatar appears for authenticated users.
• Core account actions are clickable and routed correctly.
• Fallback avatar behavior works when no image exists.