Elementor Pro generates its own shortcodes. They are found in elementor > My library. Just copy and paste where you want them. Does the same as Anywhere Elementor without the need for the additional plugin =)
If you want your form element to appear on all posts without having to add the shortcode each time you could just place the Elementor Library widget in one of your sidebars, header or footer. If you only want it showing on your blog posts page then create a new widget area that applies only to the blog posts, you can do this very easily with Woo Sidebars which is a nice, free and simple plugin that does just that.