add vue frontend scaffold

Add the standalone Vue, Vite, and TypeScript application with Vue Router and Pinia. Include npm dependency locking and the generated lint, formatting, and editor configuration.

frontend/website/src/App.vue

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+<script setup lang="ts"></script>
+
+<template>
+  <h1>You did it!</h1>
+  <p>
+    Visit <a href="https://vuejs.org/" target="_blank" rel="noopener">vuejs.org</a> to read the
+    documentation
+  </p>
+</template>
+
+<style scoped></style>

frontend/website/src/main.ts

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+import { createApp } from 'vue'
+import { createPinia } from 'pinia'
+
+import App from './App.vue'
+import router from './router'
+
+const app = createApp(App)
+
+app.use(createPinia())
+app.use(router)
+
+app.mount('#app')

frontend/website/src/router/index.ts

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+import { createRouter, createWebHistory } from 'vue-router'
+
+const router = createRouter({
+  history: createWebHistory(import.meta.env.BASE_URL),
+  routes: [],
+})
+
+export default router

frontend/website/src/stores/counter.ts

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+import { ref, computed } from 'vue'
+import { defineStore } from 'pinia'
+
+export const useCounterStore = defineStore('counter', () => {
+  const count = ref(0)
+  const doubleCount = computed(() => count.value * 2)
+  function increment() {
+    count.value++
+  }
+
+  return { count, doubleCount, increment }
+})