Fix user info display in sidebar by restoring profile loader

[Copilot]

The user info section in the sidebar displayed hardcoded fallback values ("User", "user@example.com") because the profile loader was commented out, leaving AdminContext unpopulated.

Changes

• Uncommented profile loader in router.tsx to populate AdminContext on app load
• Extracted display name logic into getUserDisplayName helper with proper fallback chain: firstName + lastName → firstName → email → "User"
• Removed hardcoded email fallback in favor of actual email or empty string

// Before
<UserDropdown
  user={{
    name: profile?.first_name || "User",
    email: profile?.email || "user@example.com",
  }}
/>

// After
const getUserDisplayName = (profile: Admin | null) => {
  if (profile?.first_name && profile?.last_name) {
    return `${profile.first_name} ${profile.last_name}`;
  }
  return profile?.first_name || profile?.email || "User";
};

<UserDropdown
  user={{
    name: getUserDisplayName(profile),
    email: profile?.email || "",
  }}
/>

Applies to all authenticated routes including Settings pages.

Original prompt

---

This section details on the original issue you should resolve

<issue_title>[Settings] User info navbar broken</issue_title>
<issue_description>The user information section in the top navigation bar of Settings is broken or does not render user information as expected.

Task:

• Fix the user info display in the settings navbar so user information loads and is displayed correctly across all settings screens.
• Confirm behavior in edge cases (e.g., missing profile).
  </issue_description>

Comments on the Issue (you are @copilot in this section)

• Fixes [Settings] User info navbar broken #118

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