No support required but there is some bridging over the penny slot. I suggest you rotate the part or your fill rotation so that the first layer after the penny slot travels across the width of the opener. If bridging is not successful, pause and try inserting the penny midway trick as some have successfully done.

Best to print with high infill to preserve strength.

Print both parts and glue your favourite UK penny down the slot for durability.

Glue the clip into the bottle opener slot.