fix(badges): support multi-word fulltext search

- Split search query by spaces
- Apply AND logic: all words must match
- Single word: LIKE '%word%'
- Multi-word: LIKE '%word1%' AND LIKE '%word2%'

Example: 'scott idem' now searches for both 'scott' AND 'idem'
Previously searched for literal 'scott idem' phrase which failed.

Fixes search bug discovered during Playwright test development.

src/lib/ae_events/ae_events__event_badge.ts

@@ -403,9 +403,21 @@ export async function search__event_badge({
 
     // Standardized Text Search Pattern (V3 API)
     // NOTE: Using 'default_qry_str' (Strict DB Column)
+    // Multi-word support: Split query by spaces and search for all words (AND logic)
     if (fulltext_search_qry_str && fulltext_search_qry_str.trim().length > 0) {
         const qry = fulltext_search_qry_str.trim();
-        search_query.and.push({ field: 'default_qry_str', op: 'like', value: `%${qry}%` });
+        const words = qry.split(/\s+/).filter(w => w.length > 0);
+
+        if (words.length === 1) {
+            // Single word: use simple LIKE
+            search_query.and.push({ field: 'default_qry_str', op: 'like', value: `%${words[0]}%` });
+        } else if (words.length > 1) {
+            // Multiple words: each word must match (AND logic)
+            for (const word of words) {
+                search_query.and.push({ field: 'default_qry_str', op: 'like', value: `%${word}%` });
+            }
+        }
+
         params['lk_qry'] = params['lk_qry'] || {};
         params['lk_qry']['default_qry_str'] = qry;
     }