test(web): add Playwright config and E2E tests for file manager

Ultraworked with [Sisyphus](https://github.com/code-yeongyu/oh-my-openagent)

Co-authored-by: Sisyphus <clio-agent@sisyphuslabs.ai>

web/playwright.config.ts

@@ -0,0 +1,14 @@
+import { defineConfig } from '@playwright/test'
+
+export default defineConfig({
+  testDir: './tests',
+  timeout: 30000,
+  retries: 0,
+  use: {
+    baseURL: 'http://localhost:5173',
+    headless: true,
+    launchOptions: {
+      executablePath: process.env.CHROME_PATH || '/opt/google/chrome/chrome',
+    },
+  },
+})