The root-element of a navigation should have the data-lit-nav attribute to autoclose on mouseleave.
<ul class="bg-blue-500" data-lit-nav>
@foreach ($nav->main as $item)
<x-lit-nav-item
:item="$item"
level="1"
root
class="py-4 bg-yellow-300"
outerClass="ml-4 bg-red-300 pr-8"
dropdownClass="bg-blue-400 shadow"
placement="bottom-start"
:offset="[0,10]"
active="font-bold text-green-500"
noArrow
>
<x-slot name="title">
{{ $item->title }}
</x-slot>
@foreach ($item->children as $item)
<x-lit-nav-item
:item="$item"
level="2"
placement="right"
class="px-3"
dropdownClass="bg-white shadow-2xl"
:offset="[0,10]"
active="font-bold text-red-500 active-level-2"
>
<x-slot name="title">
<div class="py-3 mr-2 -ml-2">
*
</div>
{{ $item->title }}
</x-slot>
@foreach ($item->children as $item)
<x-lit-nav-item
:item="$item"
level="3"
placement="right"
dropdownClass="bg-white shadow-2xl"
active="font-bold"
/>
@endforeach
</x-lit-nav-item>
@endforeach
</x-lit-nav-item>
@endforeach
</ul>