How to add insertTableLayout Toolbar Icon

[Anubarak]

I am trying to add a insertTableLayout toolbar button for the CKEditor from here https://ckeditor.com/docs/ckeditor5/latest/features/tables/layout-tables.html
I can do that in my frontend via

import {
    ClassicEditor,
    type EditorConfig,
    TableLayout,
} from "ckeditor5";

const config: EditorConfig = {
    licenseKey: 'GPL',
    plugins: [
        TableLayout,
    ],
    toolbar: [
        'insertTableLayout'
    ],
}

Without any issues. However I am having a difficult time adding this config to Craft CMS.
I tried several different approaches but all failed. When I add the table plugin CKEditor says it's already added and I can't re-add it, however I am unable to find a different DLL file beside the existing table one as TableLayout seems to be bundled in it.

I can see a refernce to "menuBar:insertTableLayout" in ckeditor/src/web/assets/ckeditor/dist/ckeditor5-dll.js so it's bundled and should be available but since it's not in the toolbar visually I don't know how to add it, the only things imported are

import {
  Table,
  TableCaption,
  TableCellProperties,
  TableProperties,
  TableToolbar,
  TableUI,
} from '@ckeditor/ckeditor5-table';

but not TableLayout https://github.com/craftcms/ckeditor/blob/4.x/src/web/assets/ckeditor/src/ckeditor5-craftcms.js#L49-L56 and I can't add the plugin table twice.

I also tried to create my custom DLL file but it didn't work as well since it either said Table is already registered or TableLayout cannot be found.

I also tried to install the table build file again

npm pack @ckeditor/ckeditor5-table

then moved it to my AssetBundle

class CkEditorLayoutTableAssetBundle extends BaseCkeditorPackageAsset
{
    public $sourcePath = __DIR__ . '/build';

    public $js = [
        'table.js',
    ];

    public array $pluginNames = [
        'TableLayout',
    ];

    public array $toolbarItems = [
        'insertTableLayout',
    ];
}

But I just get the error
No plugin named Table found in window.CKEditor5.
or
No plugin named TableLayout found in window.CKEditor5.
or
Missing component: insertTableLayout