Show login and register in Laravel 11 API with Passport?

In such examples with Passport authentication there are almost every time Postman-checking for login and register. How do I make these to appear in the welcome-page? I'm not certain how to handle the routes if that's the problem. In other examples with Laravel and Breeze it shows Login and Register on the header but not in Passport examples. I wonder why.

In the welcome page header:

<header class="grid grid-cols-2 items-center gap-2 py-10 lg:grid-cols-3">
                        <div class="flex lg:justify-center lg:col-start-2">
                            <svg class="h-12 w-auto text-white lg:h-16 lg:text-[#FF2D20]" ....much contents
                        </div>
                        @if (Route::has('login'))
                            <nav class="-mx-3 flex flex-1 justify-end">
                                @auth
                                    <a
                                        href="{{ url('/dashboard') }}"
                                        class="rounded-md px-3 py-2 text-black ring-1 ring-transparent transition hover:text-black/70 focus:outline-none focus-visible:ring-[#FF2D20] dark:text-white dark:hover:text-white/80 dark:focus-visible:ring-white"
                                    >
                                        Dashboard
                                    </a>
                                @else
                                    <a
                                        href="{{ route('login') }}"
                                        class="rounded-md px-3 py-2 text-black ring-1 ring-transparent transition hover:text-black/70 focus:outline-none focus-visible:ring-[#FF2D20] dark:text-white dark:hover:text-white/80 dark:focus-visible:ring-white"
                                    >
                                        Log in
                                    </a>

                                    @if (Route::has('register'))
                                        <a
                                            href="{{ route('register') }}"
                                            class="rounded-md px-3 py-2 text-black ring-1 ring-transparent transition hover:text-black/70 focus:outline-none focus-visible:ring-[#FF2D20] dark:text-white dark:hover:text-white/80 dark:focus-visible:ring-white"
                                        >
                                            Register
                                        </a>
                                    @endif
                                @endauth
                            </nav>
                        @endif
                    </header>

But here the login and register doesn't show.

Regards, Ralph in Sweden