Creating a page with only a plugin style architecture

Hello, I am trying to create a page within my plugin that is only using Acorn and Bud. I am using the experimental routes feature. How can I create a page that utilizes the native theme the WP installation is using? I have access to the radicle repo and attempted to copy layouts/app.blade.php however it did not appear to work correctly. Any direction would be greatly appreciated.

app.blade.php

<!doctype html>
<html <?php language_attributes(); ?>>
    <head>
        <meta charset="utf-8">
        <meta name="viewport" content="width=device-width, initial-scale=1">
        <?php wp_head(); ?>
    </head>
    <body <?php body_class(); ?>>
        <?php wp_body_open(); ?>
        <?php do_action('get_header'); ?>

        <div id="app">

            <main id="main" class="max-w-5xl mx-auto">
                <div class="px-6">
                    @yield('content')
                </div>
            </main>
        </div>

        <?php do_action('get_footer'); ?>
        <?php wp_footer(); ?>
    </body>
</html>

Output:

https://pastebin.com/2nwd33ky

What didn’t work when using app.blade.php? Your layout should work if it implements all the necessities such as wp_head, wp_footer, the get_header action, etc. assuming the theme isn’t hardcoding stuff you’d need into its templates.

I have attached the HTML output as well as a screenshot and what we are using for the app.blade.php.

It appears the HTML from the WP functions is being injected at weird places. I am just using the base install 2023 WP theme. Completely vanilla.