how to exclude post in archive

Hi,

Being a string-based plugin, TranslatePress does not create new posts for the translated versions of the original post, in order to edit those translated posts. But the translated versions will have separate URLs. That means every page has a separate URL for each language no matter if that page is translated or not. We load only the content of a different URL, but not a different post. If the post isn’t translated, will be displayed as it is on the additional language.

Even probably is not a solution for you, you need to know that in order to display different content for different languages we have Conditional Shortcode Based On Language https://translatepress.com/docs/translation-shortcode/, or if your website is built with Elementor, you can restrict the modules based on language using our Restrict by Language integration: https://translatepress.com/docs/restrict-by-language/elementor-integration/.
Also, we have similar integrations with Oxygen Builder, https://translatepress.com/docs/restrict-by-language/oxygen-builder-integration/, and WP Bakery, https://translatepress.com/docs/restrict-by-language/wpbackery-integration/.