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

api/prisma/schema.prisma

@@ -176,6 +176,13 @@ enum MangaStatus {
   RETIRED
 }
 
+enum PrimaryBadge {
+  STAFF
+  MOD
+  VIP
+  DISCORD
+}
+
 model User {
   id            String         @id @default(auto()) @map("_id") @db.ObjectId
   discordId     String         @unique
@@ -186,6 +193,7 @@ model User {
   displayName   String?
   bio           String?
   profilePublic Boolean        @default(true)
+  primaryBadge  PrimaryBadge?
   website       String?
   discordServer String?
   bluesky       String?