Toolset doesn't allow editing much else than the Post Body and widget area (thru adding widgets)
The rest of the Website (footer, header, sidebar, menu, etc) are usually handled by the Theme.
You can hence not import a Menu, or an entire navigation HTML structure with Toolset, also you cannot create it, at least, not with the inbuilt Blocks and features, which generally are oriented towards post body editing.
For example, in a Header or Navigation, you'd want menus, maybe folding items, logos, etc. Toolset doesn't add any such block or shortcode to the setup.
Now, if you want something that edits your entire website, from top to bottom, and you want to edit single parts visually, I can show you how - but please acknowledge that this is not the suggested way of approach.
Suggested is, to design the Content (Post Body) with Toolset Blocks (and add all your Toolset built things generally in the Post Content/Content Templates/Widgets)
However, if you install Toolset Layouts, and use a Customized Theme, you can indeed do what you'd like.
This aspect of Toolset is not anymore documented and suggested but it works. You can even design single aspects of your "layouts" with the Blocks editor, which is great, and still, control from the menu to post body - everything a site usually has - in the Layout Editor.
However for this as said you'll need a special Theme. Here's an example of (feel free to use it, suggest improvements in Git or ask if you need help - in git, not in Toolset.com)
hidden link
Then you'll need to install Toolset Layouts and start building Layouts for your templates, and you can then still edit single Content Templates with Blocks, which can be used either on post body or in layouts.
And that will allow you to add menus, logos, and more.
But as said, this is an "old school" approach, and it's not what the mainstream Toolset Blocks workflow suggests.
Can I help you further with this?
Remember that for any question related to the above example theme you'd have to ask me directly in Git.
Toolset doesn't produce or maintain that Theme, I do myself (several Toolset users use it on their projects when they need full power over WordPress)
Thanks!