HOMOTEK 2 Pack Drive in Ball Catch with Strike Plate for Closet Doors, Satin Nickel, 13/16" x 1-1/8",Die-cast, Adjustable Tension Ball

https://a.co/d/0htmX1Zr Mortisse the top of your door and put these in on each door. Then remove the door latches or turn one of them into a strike plate.