new search field in admin

You have limited ability to add content to the user list table. I think you’re better off using the default search box and modifying the search query to get the users you are looking for. Similar to “pre_get_posts”, there is a “pre_get_users” action hook where you can modify the query as desired, but limited to what query vars are available. WP_User_Query accepts meta data query vars similar to what WP_Query does for posts.
https://developer.www.ads-software.com/reference/classes/wp_user_query/prepare_query/#parameters

So I just replace “pre_get_posts” with “pre_get_users” ?