Livewire + AlpineJS

Hi, im currently learning laravel framework along with livewire. I also utilized AlpineJS for some specific client-side logic. I want to ask if the following code is considered to be best practice, and also a question at the end

I have a full-page livewire component like the following:

TestComponent.php

<?php

namespace App\Livewire;

use Livewire\Attributes\Layout;
use Livewire\Component;

#[Layout('layouts.base')]
class TestComponent extends Component
{
    public $bootCount = 0;
    public $message = 'message - livewire';

    public function boot()
    {
        $this->bootCount++;
    }

    public function render()
    {
        return view('livewire.test-component');
    }

    public function doSomethingWire()
    {
        if ($this->bootCount % 2 === 0) {
            $this->message = 'bootCount is even';
        } else {
            $this->message = 'bootCount is odd';
        }
    }
}

and the test-component.blade.php

<div>
    <div x-data="testComponent">
        <button @click="$wire.doSomethingWire">doSomethingWire</button>
        <button @click="doSomethingAlpine">doSomethingAlpine</button>
        <span x-text="$wire.message"></span>
        <span x-text="$wire.bootCount"></span>
    </div>
</div>

@script
<script>
    document.addEventListener('livewire:initialized', () => {
        console.log('here');
    });
    
    Alpine.data('testComponent', () => {
        return {
            doSomethingAlpine() {
                console.log($wire.message);
            }
        }
    });
    </script>
@endscript

this simple full-page component works just fine, however there's something im confused with. So, when i navigate to another page (using a wire:navigate of course in my navbar layout), and i clicked on the browser's client back button (the <- arrow), AlpineJS suddently not working, especially on the 'doSomethingAlpine' method. It throws an error like the following:

Alpine Expression Error: undefined

Expression: "doSomethingAlpine"

I've tried experimenting on it by replacing the $wire.message inside that method into a simple string, and it worked. Currently, i can only narrow the problem down to the $wire.message part, anyone else's thoughts on this ?