feat(web): init Vite + React + Tailwind client scaffold

Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>

web/client/vite.config.ts

@@ -0,0 +1,23 @@
+import { defineConfig } from 'vite';
+import react from '@vitejs/plugin-react';
+import path from 'path';
+
+export default defineConfig({
+  plugins: [react()],
+  root: path.resolve(__dirname),
+  resolve: {
+    alias: {
+      '@': path.resolve(__dirname, 'src'),
+    },
+  },
+  server: {
+    port: 5173,
+    proxy: {
+      '/api': 'http://localhost:3001',
+      '/ws': {
+        target: 'ws://localhost:3001',
+        ws: true,
+      },
+    },
+  },
+});