Separating 2 Light Switches (1 is a 3 way) Hardwired Together
The 3 way switch on the left is hooked up right and the back stab on the back of it provides power to the switch on the right and then continues on somewhere else.. It looks like the switch on the right is a 3 way and is wired for single action. You want to get rid of the backstab on the left switch by pigtailing it to the wire under the black screw and to a small piece of #12 awg then to the switch. Your new switch "line" will be the wire pigtailed from the 3 way switch which fed your old switch and the "load" will be the other wire from the old switch. If you need a neutral for your new switch, connect it to the white wires under the blue wire nut. If there is a ground wire on your new switch connect it to one of the screws on the back of the box.