fix(badges): implement missing sort cases for all sort options

All four sort options in the dropdown were falling through to the
default (given_name ASC) because their cases were missing from both
the IDB fast-path sort and the API order_by_li mapping:

- Affiliations ASC: IDB sorts by affiliations_override → affiliations;
  API sorts by affiliations column
- Badge Type ASC: badge_type_code ASC
- First Printed DESC: print_first_datetime DESC
- Last Printed DESC: print_last_datetime DESC

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

src/routes/events/[event_id]/(badges)/badges/+page.svelte

@@ -317,6 +317,26 @@ async function handle_search_refresh(params: any) {
                             );
                         case 'print_count_desc':
                             return (b.print_count ?? 0) - (a.print_count ?? 0);
+                        case 'print_first_desc':
+                            return (
+                                new Date(b.print_first_datetime || 0).getTime() -
+                                new Date(a.print_first_datetime || 0).getTime()
+                            );
+                        case 'print_last_desc':
+                            return (
+                                new Date(b.print_last_datetime || 0).getTime() -
+                                new Date(a.print_last_datetime || 0).getTime()
+                            );
+                        case 'badge_type_asc':
+                            return (a.badge_type_code ?? '').localeCompare(
+                                b.badge_type_code ?? ''
+                            );
+                        case 'affiliations_asc':
+                            return (
+                                (a.affiliations_override ?? a.affiliations ?? '').localeCompare(
+                                    b.affiliations_override ?? b.affiliations ?? ''
+                                )
+                            );
                         default:
                             return (a.given_name ?? '').localeCompare(
                                 b.given_name ?? ''
@@ -372,6 +392,18 @@ async function handle_search_refresh(params: any) {
             case 'print_count_desc':
                 order_by_li = { print_count: 'DESC' };
                 break;
+            case 'print_first_desc':
+                order_by_li = { print_first_datetime: 'DESC' };
+                break;
+            case 'print_last_desc':
+                order_by_li = { print_last_datetime: 'DESC' };
+                break;
+            case 'badge_type_asc':
+                order_by_li = { badge_type_code: 'ASC' };
+                break;
+            case 'affiliations_asc':
+                order_by_li = { affiliations: 'ASC' };
+                break;
             default:
                 order_by_li = { given_name: 'ASC' };
         }