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/stores/auth.ts

@@ -0,0 +1,14 @@
+import { defineStore } from 'pinia';
+import { ref } from 'vue';
+
+export const useAuthStore = defineStore('auth', () => {
+  const user = ref(null);
+  const isLoggedIn = ref(false);
+
+  function setUser(userData: any) {
+    user.value = userData;
+    isLoggedIn.value = !!userData;
+  }
+
+  return { user, isLoggedIn, setUser };
+});