https://pinside.com/pinball/market/shops/1016-lermods/00486-pinball-remote-battery-holder
Refer to this product picture. Since you already have the battery holder you can make it yourself.
A couple wooden dowels, two screws and solder lugs can make the battery holder you have do what you want it to do if that is the way you decide to go.
PM me if you need more guidance