I want to add another search box on posts page in dashboard

There is already a search box in wordpress dashboard for posts, products, pages etc. in their listing page.

My client use wordpress admin with their phone so he requested another search box on top of those pages with the same functionality. I can edit codes if I need to, but I don't know where to start. Have anybody needed that kind of behavior before? It seems easy but I don't know how to edit listing pages in wordpress dashboard.