feat: add primary badge selection for user profiles

Implements #49 - Allow users to select one primary badge to display
on their profile instead of showing all badges at once.

Changes:
- Add PrimaryBadge enum to Prisma schema and shared types (STAFF, MOD, VIP, DISCORD)
- Add primaryBadge field to User model and all user interfaces
- Update settings component with badge selection dropdown
- Only show badges the user actually has in the dropdown
- Update profile component to display only selected badge (or all if none selected)
- Add primaryBadge to admin profile edit modal
- Update API routes and services to handle primaryBadge
- Export PrimaryBadge enum from shared-types (not just as type)

Additional fixes:
- Fix Angular output naming: rename onEdit/onDelete to edit/delete
- Update all parent components using comment-display outputs
- Add type casting for Prisma PrimaryBadge enum to shared-types enum

apps/frontend/src/app/services/user.service.ts

@@ -7,7 +7,7 @@
 import { Injectable, inject } from '@angular/core';
 import { Observable } from 'rxjs';
 import { ApiService } from './api.service';
-import { User } from '@library/shared-types';
+import { User, PrimaryBadge } from '@library/shared-types';
 
 export interface UserProfileResponse {
   id: string;
@@ -16,6 +16,7 @@ export interface UserProfileResponse {
   avatar?: string;
   bio?: string;
   slug?: string;
+  primaryBadge?: PrimaryBadge;
   website?: string;
   discordServer?: string;
   bluesky?: string;
@@ -43,6 +44,7 @@ export interface UpdateUserSettingsRequest {
   displayName?: string;
   bio?: string;
   profilePublic?: boolean;
+  primaryBadge?: PrimaryBadge;
   website?: string;
   discordServer?: string;
   bluesky?: string;