show the most recent date of all posts to display on front end

Based on what you’re asking and what I am understanding there is the_modified_date() or if you just want the value get_the_modified_date().

If you ever want the creation date you could use post_date and post_date_gmt. Several questions on this:

If you are asking for a complete solution I would encourage you to search under custom post type and wp_query. We have several questions that are on the topic. If can make an edit with code I do not mind trying to help you further.

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