open routes/web.php, and paste something simmilar.

//VUE ROUTER
Route::get('/{any}', function () {
    if (Auth::user()) {
        return view('user-welcome');
    } else {
        return view('guest-welcome');
    }
})->where('any', '(.*)');

no any link will always redirect to your user-welcome or guest-welcome view and load vue components, always

then add in same file prefix for API calls

Route::prefix('api')->group(function () {
    Route::resource('forms', FormsController::class);
    Route::resource('somethings', SomethingsController::class);
});