fix: Fix multiple bugs with new authentication flow

e2e/run-playwright.mjs

@@ -0,0 +1,27 @@
+import { spawn } from 'node:child_process';
+import { fileURLToPath } from 'node:url';
+
+const e2eDirectory = fileURLToPath(new URL('.', import.meta.url));
+const env = { ...process.env };
+const browsersPath = env.PLAYWRIGHT_BROWSERS_PATH;
+
+if (browsersPath?.includes('/cursor-sandbox-cache/')) {
+  delete env.PLAYWRIGHT_BROWSERS_PATH;
+}
+
+const [command = 'test', ...args] = process.argv.slice(2);
+const executable = process.platform === 'win32' ? 'npx.cmd' : 'npx';
+const child = spawn(executable, ['playwright', command, ...args], {
+  cwd: e2eDirectory,
+  env,
+  stdio: 'inherit'
+});
+
+child.on('exit', (code, signal) => {
+  if (signal) {
+    process.kill(process.pid, signal);
+    return;
+  }
+
+  process.exit(code ?? 1);
+});