feat: initialize gateway frontend with Vue 3, Vite, and Tailwind CSS

- Set up pnpm workspace with necessary dependencies including esbuild and vue-demi.
- Create initial HTML structure for the frontend application.
- Implement main App component with Vue Router integration.
- Add global styles using Tailwind CSS and custom theme variables.
- Define TypeScript environment for Vue components.
- Create a default layout component for consistent page structure.
- Set up Vue Router with a home view route.
- Implement authentication store using Pinia for user management.
- Create utility for tRPC client setup.
- Develop HomeView component with login functionality and server status placeholder.
- Configure TypeScript for Node with composite and strict options.
- Set up Vite configuration for Vue and Tailwind CSS integration.

app/gateway-frontend/src/utils/trpc.ts

@@ -0,0 +1,10 @@
+import { createTRPCProxyClient, httpBatchLink } from '@trpc/client';
+import type { AppRouter } from '../../../gateway-api/src/router';
+
+export const trpc = createTRPCProxyClient<AppRouter>({
+  links: [
+    httpBatchLink({
+      url: '/api/trpc', // 실제 환경에 맞게 조정 필요
+    }),
+  ],
+});