feat(home): 支持蓝牙输入协议显示逻辑

- 新增蓝牙输入协议索引常量，与输入选项保持一致
- 导入并使用 INPUT_BLUETOOTH_INDEX 判断蓝牙输入状态
- 仅当输入为蓝牙且状态有效时显示蓝牙信息区域
- 优化输入状态判断逻辑，提升代码可读性和维护性

client/src/lib/luxsinApi.ts

@@ -294,6 +294,8 @@ export interface PeqSoftPayload {
 // ============================================================
 // Input/Output Labels
 // ============================================================
+/** 蓝牙输入的协议索引，与 IOPage 输入选项一致。 */
+export const INPUT_BLUETOOTH_INDEX = 4;
 export const INPUT_LABELS = ["USB", "USB-C", "Coaxial", "Optical", "Bluetooth", "IIS", "RCA"];
 export const OUTPUT_LABELS = ["XLR", "RCA", "Headset", "XLR/RCA"];
 export const LANGUAGE_LABELS = ["English", "繁體中文", "简体中文"];

client/src/pages/Home.tsx

@@ -23,7 +23,13 @@ import {
   AlertDialogHeader,
   AlertDialogTitle,
 } from "@/components/ui/alert-dialog";
-import { getHeadphoneMaxVolumeDb, getHomeVolumeMax, INPUT_LABELS, OUTPUT_LABELS } from "@/lib/luxsinApi";
+import {
+  getHeadphoneMaxVolumeDb,
+  getHomeVolumeMax,
+  INPUT_BLUETOOTH_INDEX,
+  INPUT_LABELS,
+  OUTPUT_LABELS,
+} from "@/lib/luxsinApi";
 import { cn } from "@/lib/utils";
 import {
   ChevronRight,
@@ -786,7 +792,7 @@ export default function Home() {
         )}
 
         {/* Bluetooth info */}
-        {ds.bt_status !== 0 && (
+        {ds.input === INPUT_BLUETOOTH_INDEX && ds.bt_status !== 0 && (
           <div className="mt-3 px-3 py-3 text-center">
             <div className="flex items-center justify-center gap-1.5 mb-1">
               <Bluetooth size={14} className="text-[#00FFF6]" />