fix(auth): run user sync in hooks immediately and fix auth methods path

- User create/update hooks now call runEnsureNow() so Payload has the user
  before the response (fixes magic-link redirect seeing missing user).
- Change auth methods endpoint from /auth/methods to /methods so the
  full path is /api/auth/methods; update BetterAuthLoginServer fetch URL.
- Reconcile queue: extract runEnsure(), add public runEnsureNow() for
  use from hooks while still enqueueing for idempotent retry.
- E2E: add dev:auth:test script and second Playwright webServer so tests
  run with both app and auth server; run build before dev:build in e2e.
- dev: point next-env.d.ts at .next/types/routes.d.ts.

Author: btc-echo-ben

dev/next-env.d.ts

@@ -1,6 +1,6 @@
 /// <reference types="next" />
 /// <reference types="next/image-types/global" />
-import "./.next/dev/types/routes.d.ts";
+import "./.next/types/routes.d.ts";
 
 // NOTE: This file should not be edited
 // see https://nextjs.org/docs/app/api-reference/config/typescript for more information.

dist/better-auth/plugin.js

@@ -45,13 +45,20 @@ export declare class Queue {
     private clearFullReconcileTasks;
     private enqueue;
     private listBAUsersPage;
+    private runEnsure;
     private runTask;
     private scheduleNextReconcile;
     /** Paginated approach: process users page by page to reduce memory usage */
     private seedFullReconcilePaginated;
     private tick;
     enqueueDelete(baId: string, priority?: boolean, source?: TaskSource, reconcileId?: string): void;
     enqueueEnsure(user: BAUser, priority?: boolean, source?: TaskSource, reconcileId?: string): void;
+    /**
+     * Run ensure (sync user to Payload) immediately without waiting for the queue tick.
+     * Used from database hooks so that e.g. magic-link redirect sees the user in Payload
+     * before the response is sent. The task remains enqueued for idempotent retry.
+     */
+    runEnsureNow(user: BAUser): Promise<void>;
     /** Seed tasks by comparing users page by page (Better-Auth → Payload). */
     seedFullReconcile(): Promise<void>;
     start({ reconcileEveryMs, tickMs }?: {