refactor: Update loggedIn store type and streamline login/dashboard navigation logic

src/components/repo/authv2.ts

@@ -89,6 +89,6 @@ export class AuthV2Repo {
     }
 }
 
-export const loggedIn = writable(false);
+export const loggedIn = writable<boolean | undefined>(undefined);
 
 export const authV2Repo = readable(new AuthV2Repo());