Using a centered page title as a dropdown or selector button

For a navigation bar for a PWA, I had the following in mind:

mockup

download bmml source – Wireframes created with Balsamiq Mockups

Is it good practice to use a page title as a selection element? This could be a dropdown menu or a button that brings up a modal window.

Or would it be better to include lesson selection in the menu?

EDIT: I'm leaning towards including lesson selection in the menu, since users typically would only go to the next (or a different) lesson when they're done with the current one, which could be handled with a dialog or button. Looking up something in another lesson would still be possible via the menu.