Use a zero clearance cutter which cuts it flat and flush with the lock. The jaws aren’t ’v’ shaped like they are for heavier wires, one side is flat and cuts flush on that side.

Usually these are used for small wires.

Any electrical supply place will have them - search for ‘flush cutter’ and the like.

A razor (surprisingly) also works, but tends to damage other stuff easier if you slip.

You can run your skin over them all day, no issues.