fix(core): remove OAuth check from handleFallback and clean up stray file (#21962)

packages/core/src/fallback/handler.ts

@@ -5,7 +5,6 @@
  */
 
 import type { Config } from '../config/config.js';
-import { AuthType } from '../core/contentGenerator.js';
 import {
   openBrowserSecurely,
   shouldLaunchBrowser,
@@ -29,10 +28,6 @@ export async function handleFallback(
   authType?: string,
   error?: unknown,
 ): Promise<string | boolean | null> {
-  if (authType !== AuthType.LOGIN_WITH_GOOGLE) {
-    return null;
-  }
-
   const chain = resolvePolicyChain(config);
   const { failedPolicy, candidates } = buildFallbackPolicyContext(
     chain,