Migrate initial site domain lookup to Aether API CRUD V3

- Implemented lookup_site_domain_v3 in ae_core__site.ts using Search API
- Refactored root +layout.ts to use the new V3 lookup logic
- Standardized top-level data initialization with V3 response metadata
- Improved security by transitioning to standardized V3 API patterns

src/lib/ae_core/ae_core__site.ts

@@ -77,6 +77,46 @@ export interface Site_Domain {
  */
 
 // Updated 2026-01-06
+// Updated 2026-01-06
+export async function lookup_site_domain_v3({
+    api_cfg,
+    fqdn,
+    view = 'default',
+    log_lvl = 0
+}: {
+    api_cfg: any;
+    fqdn: string;
+    view?: string;
+    log_lvl?: number;
+}) {
+    if (log_lvl) {
+        console.log(`*** lookup_site_domain_v3() *** fqdn=${fqdn}`);
+    }
+
+    const search_query = {
+        and: [{ field: 'fqdn', op: 'eq', value: fqdn }]
+    };
+
+    // We use search because we are looking up by a unique field (fqdn) rather than ID.
+    // The backend should return a list, but since FQDN is unique, it will have 1 item.
+    const result_li = await api.search_ae_obj_v3({
+        api_cfg,
+        obj_type: 'site_domain',
+        search_query,
+        view, // This view should ideally join with site and account for the root lookup
+        enabled: 'enabled',
+        hidden: 'all',
+        limit: 1,
+        log_lvl
+    });
+
+    if (result_li && result_li.length > 0) {
+        return result_li[0];
+    }
+
+    return null;
+}
+
 export async function load_ae_obj_id__site({
     api_cfg,
     site_id,