Whats the best way to create a menu with a centered logo for Wordpress integration.

[tomasts248]

So I have right now a left menu, a logo and a right menu, and it should on mobile have a button that contains both menus (left and right). So I know I can use navwalker, but what would be the appropriate structure, since I don't want to use navbar, just the navs and the button and it must be linked to wordpress built-in menu editor so that the clients can add/edit the different menus.