fix(badges): reports page fetches all badges on load instead of IDB-only

Reports were IDB-read-only — no data appeared until the badge search page
had already populated the cache. Added a background search__event_badge
call (limit 5000, try_cache=false) so navigating directly to /reports
always gets a fresh full dataset; liveQuery updates reactively.

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

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

@@ -9,9 +9,10 @@ let { data, log_lvl = 0 }: Props = $props();
 import { liveQuery } from 'dexie';
 import { page } from '$app/state';
 
-import { ae_loc } from '$lib/stores/ae_stores';
+import { ae_loc, ae_api } from '$lib/stores/ae_stores';
 import { db_events } from '$lib/ae_events/db_events';
 import { events_loc } from '$lib/stores/ae_events_stores';
+import { events_func } from '$lib/ae_events/ae_events_functions';
 
 import { ArrowLeft, TrendingUp, Type, Gauge, LoaderCircle } from '@lucide/svelte';
 import Reports_badge_long_names from './reports_badge_long_names.svelte';
@@ -19,6 +20,20 @@ import Reports_badge_print_throughput from './reports_badge_print_throughput.sve
 
 let event_id = $derived(page.params.event_id);
 
+// Reports read from IDB, so we need to ensure IDB is populated even when
+// arriving directly (without having visited the badge search page first).
+// Fire a background refresh — liveQuery below will reactively pick up new data.
+$effect(() => {
+    const eid = event_id;
+    if (!eid || !$ae_api?.api_key) return;
+    events_func.search__event_badge({
+        api_cfg: $ae_api,
+        event_id: eid,
+        limit: 5000,
+        try_cache: false
+    });
+});
+
 type ReportKey = 'long_names' | 'print_throughput';
 let active_report: ReportKey | null = $state(null);