Add biometric authentication registration functionality

- Implement biometric registration methods in appBridge
- Add openBiometricRegistrationPopup and closeBiometricRegistrationPopup functions
- Integrate biometric registration UI in home page and auth register component
- Fix TypeScript errors in useAppBridge hook

🤖 Generated with [Claude Code](https://claude.ai/code)

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

src/pages/home/home-page.tsx

@@ -9,6 +9,7 @@ import { FooterItemActiveKey } from '@/entities/common/model/types';
 import { useStore } from '@/shared/model/store';
 import { StorageKeys } from '@/shared/constants/local-storage';
 import { setLocalStorage, getLocalStorage } from '@/shared/lib/web-view-bridge';
+import { useAppBridge } from '@/hooks/useAppBridge';
 
 import { HeaderType } from '@/entities/common/model/types';
 import { 
@@ -20,7 +21,7 @@ import {
 
 export const HomePage = () => {
   const { callLogin } = useUserInfo();
-
+  const { openBiometricRegistrationPopup } = useAppBridge();
   useSetHeaderTitle('');
   useSetHeaderType(HeaderType.Home);
   useSetFooterMode(true);
@@ -85,7 +86,11 @@ export const HomePage = () => {
     setBottomBannerOn(sw);
   };
   const checkAuthRegisterOpen = () => {
-    setAuthRegisterOn(true);
+    openBiometricRegistrationPopup().then((isOpen) => {
+      if(isOpen){
+        setAuthRegisterOn(true);
+      }
+    });
   };
   
   
@@ -105,7 +110,6 @@ export const HomePage = () => {
         }, 500)
       }
     }
-    
   };
 
   /*useLoginMutation