refactor: remove the deprecated auth options

Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>

packages/auth/src/engine.ts

@@ -160,10 +160,6 @@ export interface AuthEngine {
       key: string;
       response: unknown;
       name?: string;
-      /** @deprecated Verification uses the RP ID bound to the issued challenge. */
-      rpId?: string;
-      /** @deprecated Verification uses the origin bound to the issued challenge. */
-      origin?: string;
     },
   ): Promise<boolean>;
   beginPasskeyAuthentication(input: {
@@ -176,10 +172,6 @@ export interface AuthEngine {
     response: unknown;
     /** Request metadata used only for the resulting session. */
     session?: Partial<AuthSession>;
-    /** @deprecated Verification uses the RP ID bound to the issued challenge. */
-    rpId?: string;
-    /** @deprecated Verification uses the origin bound to the issued challenge. */
-    origin?: string;
   }): Promise<AuthResult>;
   changePassword(
     userId: string,
@@ -832,7 +824,7 @@ export function createAuthEngine(options: AuthEngineOptions): AuthEngine {
     store,
     onSignedIn: options.onSignedIn,
     onSignedOut: options.onSignedOut,
-    onSuccessfulSignUp: options.onSuccessfulSignUp ?? options.onSuccessfullSignUp,
+    onSuccessfulSignUp: options.onSuccessfulSignUp,
 
     async register(input) {
       try {