Getting contextual links on custom page templates

I currently have contextual links working for node templates (node--contenttype.html.twig) in my Drupal 8 site. They're set up like so:

<div class="contextual-region">
    {{ title_suffix }}
    Yadda yadda
</div>

However when I am working on a custom page (page--node--12.html.twig for example) this doesn't work. It's pretty clear from the documentation for page.html.twig that this {{ title_suffix }} variable simply isn't available. Is there a way to include it on the page? Or maybe there's a different way to get contextual links on the page? I'd like to give the user the ability to edit the current page without navigating through the backend.