Alpine js abierto fuera de div

<div x-data="{id: 1}">
    <button @click="$dispatch('open-dropdown',{id})">Open Dropdown</button>
</div>

<ul x-data="{ open: false }"
    x-show="open"
    @open-dropdown.window="if ($event.detail.id == 1) open = true"
    @click.away="open = false">
    Dropdown Body
</ul>
Tired Thrush