How to hide some information in data-page?

I successfully deployed a project with Laravel 12 + React + TSX and discovered that even the admin routes are visible in the data-page HTML.

Here's my HandleInertiaRequests

<?php

namespace App\Http\Middleware;

use Illuminate\Http\Request;
use Inertia\Middleware;
use Mcamara\LaravelLocalization\Facades\LaravelLocalization;
use Tighten\Ziggy\Ziggy;

class HandleInertiaRequests extends Middleware
{
    /**
     * The root template that is loaded on the first page visit.
     *
     * @var string
     */
    protected $rootView = 'app';

    /**
     * Determine the current asset version.
     */
    public function version(Request $request): ?string
    {
        return parent::version($request);
    }

    /**
     * Define the props that are shared by default.
     *
     * @return array<string, mixed>
     */
    public function share(Request $request): array
    {
        return [
            ...parent::share($request),
            'auth' => [
                'user' => $request->user() ? $request->user()->load('permissions', 'roles')->append(['avatar_url', 'isAdminRole']) : null,
            ],
            'ziggy' => fn () => [
                ...(new Ziggy)->toArray(),
                'location' => $request->url(),
            ],
            'locale' => LaravelLocalization::getCurrentLocale(),
            'languages' => collect(LaravelLocalization::getSupportedLocales())->map(function ($properties, $code) {
                return [
                    'code' => $code,
                    'name' => $properties['name'],
                    'native' => $properties['native'],
                    'url' => LaravelLocalization::getLocalizedURL($code, null, [], true),
                ];
            })->toArray(),
            'translations' => $this->getTranslations(),
            'recaptchaSiteKey' => config('services.recaptcha.site_key'),
        ];
    }

    private function getTranslations(): array
    {
        $locale = LaravelLocalization::getCurrentLocale();

        return [
            'common' => trans('common', [], $locale),
            'navbar' => trans('navbar', [], $locale),
            'home' => trans('home', [], $locale),
            'article' => trans('article', [], $locale),
            'footer' => trans('footer', [], $locale),
            'announcer' => trans('announcer', [], $locale),
            'videos' => trans('videos', [], $locale),
            'profile' => trans('profile', [], $locale),
            'auth' => trans('auth', [], $locale),
            'streams' => trans('streams', [], $locale),
            'telegram_bot' => trans('telegram_bot', [], $locale),
            'chat' => trans('chat', [], $locale),
        ];
    }
}

Here's my ssr.tsx:

import { createInertiaApp } from '@inertiajs/react';
import createServer from '@inertiajs/react/server';
import { resolvePageComponent } from 'laravel-vite-plugin/inertia-helpers';
import ReactDOMServer from 'react-dom/server';
import { RouteName } from 'ziggy-js';
import { route } from 'ziggy-js';
import { TranslationsProvider } from '@/Contexts/TranslationsContext';
import ToastProvider from '@/Components/UI/ToastProvider';

const appName = import.meta.env.VITE_APP_NAME || 'Laravel';

createServer((page) =>
    createInertiaApp({
        page,
        render: ReactDOMServer.renderToString,
        title: (title) => `${title} - ${appName}`,
        resolve: (name) =>
            resolvePageComponent(
                `./Pages/${name}.tsx`,
                import.meta.glob('./Pages/**/*.tsx'),
            ),
        setup: ({ App, props }) => {
            /* eslint-disable */
            // @ts-expect-error
            global.route<RouteName> = (name, params, absolute) =>
                route(name, params as any, absolute, {
                    ...page.props.ziggy,
                    location: new URL(page.props.ziggy.location),
                });
            /* eslint-enable */

            return (
                <App {...props}>
                    {({ Component, key, props }) => (
                        <TranslationsProvider>
                            <ToastProvider>
                                <Component key={key} {...props} />
                            </ToastProvider>
                        </TranslationsProvider>
                    )}
                </App>
            );
        },
    }),
);

How to hide such sensitive information about admin routes?