Prevent livewire to constantly refresh page, but still update data values

Hi!

I'm trying to create a particular livewire component. Basically, it is an input and a "page". The idea is to write a "command" in the input. The first part is a key to load the page, the second part of the command are parameters.

So, for instance, if you write fx 3x-5,-5,5, it should open the page fx and pass the parameters to the page (I'm math teacher :) ).

Basically, it is working... but I have a problem. Once I wrote the beginning of the command fx, the page is loaded as it should, without any parameters. But after that, when I add the parameters, the page is constantly refreshing.

My code for the view:

<div>
	<input autofocus type="search"
		   wire:model.debounce.500ms="input_value"
		   placeholder="Entrer un code..."
		   class="border rounded p-3 focus:outline-none focus:shadow-outline-blue w-full" >
	
	<p>Counts: {{ $renderCount }}</p>
	<div>
		@includeIf($current_page)
	</div>
	
</div>

And my code for the component:

<?php

namespace App\Http\Livewire;

use Livewire\Component;

class Toolbox extends Component {
	public string|null $current_page = null;
	public string $input_value = '';
	public string $key = '';
	public string $previousKey ='';
	public string $params = '';
	public int $renderCount = 0;

	protected $rules = [
		'inputValue' => 'required|string|min:4'
	];

	private function get_tool() {
		$this->key    = explode( ' ', $this->input_value )[0];
		$this->params = trim( mb_substr( $this->input_value, mb_strlen( $this->key ) + 1 ) );

		if ( view()->exists( 'themes.tools.' . $this->key ) ) {
			$this->current_page = 'themes.tools.' . $this->key;
			return;
		}

		// Reset the page to nothing
		$this->current_page = null;
	}

	public function render() {
		$this->get_tool();

		$this->renderCount++;
		return view( 'livewire.toolbox' );
	}

	public function increment() {
		dd('here');
		$this->renderCount++;
	}
}

The main problem is, in particular with the function, is that the loaded page plots a function and add it dynamically. When the page is refreshed, this added div>svg is automatically deleted. I would need to reinitialize it each times.

Is there a better way to do this ? Notice that I also tried to replace the @includeIf($current_page) by a livewire component accepting a parameter like this <livewire:toolpage-page :page="$key"/>, but unfortunately, the component is never updated :(

Hope you can help :) (and also understand what I wrote)