you will need just the children relationship when rendering the view. something like this would do.

file tree_entry.blade.php

<ul>

@foreeach($entries as $entry)
    <li>
     <a href="">{{ $entry->category_name }}</a>
    @if($entry->children->count())
          @include ('tree_entry', ['entries' => $entry->children]);
    @endif
    <li>
@endforeeach

</ul>

			<ul>
				@each('admin.partials.category-tree', $categories, 'category')
			</ul>

partial

<li>{{ $category['category_name'] }}</li>
@if (count($category['children']) > 0)
    <ul>
    @foreach($category['children'] as $category)
        @include('admin.partials.category-tree', $category)
    @endforeach
    </ul>
@endif

This worked for me.

even better