Wrap TinyMCE 'table' in div''

Is there a way to wrap a <table> in a div with TinyMCE?

Preferably something natively by extending TinyMCE, I know I can get it to work with pure JS.

I was attempting to do something like this with no luck. (by following this doc: https://www.tiny.cloud/docs/configure/content-formatting/#formatparameters) But I can't seem to even get this to work:

$settings['formats'] = json_encode([
...
     "table" => [
            [
                "selector" => "table",
                "classes" => "test"
            ]
        ]
...
])

Ultimately I'd like to see the HTML output on the client side as:

<div class="my_class">
     <table> 
     ... 
     </table>
</div>