Change the page title with each plugin post

Hi there,

I’m building a plugin that has it’s own post types, each one with it’s own title.

My plugin it’s called into a page by using a shortcode.

How can I change the page title dynamically with my plugin, to use each post title, instead of always the “main” page title?

I do not want to mess with theme files. I need to change the title so that WordPress and eventually other plugins sees it as the correct title instead of the main one.