Create a ‘Page’ with category as content…

Why not just make https://teambooka.com/category/events/ look how you want and link to instead?

But if you’re sure you really want it to be a Page, just create a Page (as you’ve done) and give it a Page template.

To make the Page template, use your archive.php as a base. Before The Loop starts though, add something like this:

$posts = get_posts('numberposts=10&category=5');

See https://codex.www.ads-software.com/Template_Tags/get_posts for more documentation.