refactor(events, idaa): standardize on String-only IDs and remove '_random' suffix

Aligned the Events Badges, Templates, and IDAA Bulletin Board modules with
Aether UI/UX v3 standards by prioritizing semantic String IDs (e.g., event_id,
badge_id) over legacy '_random' variants in API helpers, Dexie processors,
and UI components.

- Refactored badge and template loaders to use clean ID field names.
- Updated search and LiveQuery logic in badge management views.
- Cleaned up unused imports and legacy code in +layout and +page components.
- Standardized ID mapping in generic object processors.
- Improved IDAA post creation UX with autofocus and empty title defaults.

src/lib/ae_events/ae_events__exhibit.ts

@@ -11,9 +11,7 @@ const ae_promises: key_val = {};
 export const properties_to_save_exhibit = [
     'id',
     'event_exhibit_id',
-    // 'event_exhibit_id_random',
     'event_id',
-    // 'event_id_random',
     'code',
     'name',
     'description',
@@ -74,7 +72,7 @@ async function _process_generic_props<T extends Record<string, any>>({
         // 2. Primary Key Mapping (Dexie compatible)
         const randomIdKey = `${obj_type}_id_random`;
         const baseIdKey = `${obj_type}_id`;
-        
+
         // Prioritize the base ID field as the primary source of truth
         if (processed_obj[baseIdKey]) {
             (processed_obj as any).id = String(processed_obj[baseIdKey]);