style(frontend): apply ultracite 7.12 formatting and lint rules

frontend/src/lib/stores/chat-picker.svelte.ts

@@ -30,7 +30,8 @@ export function createChatPicker() {
       return results;
     },
     search(query: string) {
-      const current = ++seq;
+      seq += 1;
+      const current = seq;
       if (timer !== null) {
         clearTimeout(timer);
       }