How to close the modal from Livewire?

Modal:

@props([
    'name',
    'show' => false,
    'maxWidth' => '2xl'
])

@php
$maxWidth = [
    'sm' => 'sm:max-w-sm',
    'md' => 'sm:max-w-md',
    'lg' => 'sm:max-w-lg',
    'xl' => 'sm:max-w-xl',
    '2xl' => 'sm:max-w-2xl',
][$maxWidth];
@endphp

<div
    x-data="{
        show: @js($show),
        focusables() {
            // All focusable element types...
            let selector = 'a, button, input:not([type=\'hidden\']), textarea, select, details, [tabindex]:not([tabindex=\'-1\'])'
            return [...$el.querySelectorAll(selector)]
                // All non-disabled elements...
                .filter(el => ! el.hasAttribute('disabled'))
        },
        firstFocusable() { return this.focusables()[0] },
        lastFocusable() { return this.focusables().slice(-1)[0] },
        nextFocusable() { return this.focusables()[this.nextFocusableIndex()] || this.firstFocusable() },
        prevFocusable() { return this.focusables()[this.prevFocusableIndex()] || this.lastFocusable() },
        nextFocusableIndex() { return (this.focusables().indexOf(document.activeElement) + 1) % (this.focusables().length + 1) },
        prevFocusableIndex() { return Math.max(0, this.focusables().indexOf(document.activeElement)) -1 },
    }"
    x-init="$watch('show', value => {
        if (value) {
            document.body.classList.add('overflow-y-hidden');
            {{ $attributes->has('focusable') ? 'setTimeout(() => firstFocusable().focus(), 100)' : '' }}
        } else {
            document.body.classList.remove('overflow-y-hidden');
        }
    })"
    x-on:open-modal.window="$event.detail == '{{ $name }}' ? show = true : null"
    x-on:close.stop="show = false"
    x-on:keydown.escape.window="show = false"
    x-on:keydown.tab.prevent="$event.shiftKey || nextFocusable().focus()"
    x-on:keydown.shift.tab.prevent="prevFocusable().focus()"
    x-show="show"
    class="fixed inset-0 overflow-y-auto px-4 py-6 sm:px-0 z-50"
    style="display: {{ $show ? 'block' : 'none' }};"
>
    <div
        x-show="show"
        class="fixed inset-0 transform transition-all"
        x-on:click="show = false"
        x-transition:enter="ease-out duration-300"
        x-transition:enter-start="opacity-0"
        x-transition:enter-end="opacity-100"
        x-transition:leave="ease-in duration-200"
        x-transition:leave-start="opacity-100"
        x-transition:leave-end="opacity-0"
    >
        <div class="absolute inset-0 bg-gray-500 dark:bg-gray-900 opacity-75"></div>
    </div>

    <div
        x-show="show"
        class="mb-6 bg-white dark:bg-gray-800 rounded-lg overflow-hidden shadow-xl transform transition-all sm:w-full {{ $maxWidth }} sm:mx-auto"
        x-transition:enter="ease-out duration-300"
        x-transition:enter-start="opacity-0 translate-y-4 sm:translate-y-0 sm:scale-95"
        x-transition:enter-end="opacity-100 translate-y-0 sm:scale-100"
        x-transition:leave="ease-in duration-200"
        x-transition:leave-start="opacity-100 translate-y-0 sm:scale-100"
        x-transition:leave-end="opacity-0 translate-y-4 sm:translate-y-0 sm:scale-95"
    >
        {{ $slot }}
    </div>
</div>

The form:

<div class="p-6 text-gray-900 dark:text-gray-100">
                <x-primary-button
                    x-data=""
                    x-on:click.prevent="$dispatch('open-modal', 'category-modal')"
                    class="ml-3">
                    <i class="fa-solid fa-plus mr-2"></i>
                    {{ __('Category') }}
                </x-primary-button>

                <x-modal name="category-modal">
                    <form wire:submit.prevent="store" class="p-6">

                        <h2 class="mb-4 text-lg font-medium text-gray-900 dark:text-gray-100">
                            {{ __('Create a new category') }}
                        </h2>

                        <!-- Name -->
                        <div>
                            <x-input-label for="title" :value="__('Title')"/>
                            <x-text-input id="title"
                                          class="block mt-1 w-full"
                                          type="text"
                                          name="title"
                                          wire:model="title"
                                          :placeholder="__('Title')"
                                          :value="old('title')"
                                          autofocus/>
                            <x-input-error :messages="$errors->get('title')" class="mt-2"/>
                        </div>

                        <div class="mt-6 flex justify-end">
                            <x-secondary-button x-on:click="$dispatch('close')">
                                {{ __('Cancel') }}
                            </x-secondary-button>

                            <x-primary-button class="ml-3">
                                <i class="fa-solid fa-plus mr-2"></i>
                                {{ __('Create') }}
                            </x-primary-button>
                        </div>
                    </form>
                </x-modal>
            </div>

Livewire component:

public function store()
    {
        $validatedData = $this->validate();

        Categories::create($validatedData);

        session()->flash('message', __('A new category has been created.'));

        $this->dispatchBrowserEvent('open-modal', ['show' => false]);
    }