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My husband is in the process of redoing some of our switches to make them "smart". In order to achieve this, he had to get pieces that extend the box so there's more room once he puts the switch back on. It sticks out about 1/2 inch from the wall now. Does anyone know of they make switch plates that would cover this extra distance on the sides? If we can't find anything, I'm going to have to get creative.
Looks like more than a 1/4", so you can't use a Caddy RLC, you will need to use an extender like an Arlington BE1 or Raco add-a-depth ring. Raco's are a bit spooky but easier to install.
Because of the mud you will probably have to remove bottom screw before you can wiggle the top out.
NEC 314.20 Flush-Mounted Installations. Installations within or behind a surface of concrete, tile, gypsum, plaster, or other noncombustible material, including boxes employing a flush-type cover or faceplate, shall be made so that the front edge of the box, plaster ring, extension ring, or listed extender will not be set back of the finished surface more than 6 mm (1∕4 in.).
Installations within a surface of wood or other combustible surface material, boxes, plaster rings, extension rings, or listed extenders shall extend to the finished surface or project therefrom.
You will need to dig out the top of the receptacle mounting plate where it is underneath the tile and tile backing board. That's going to be a pain. Hopefully you won't have to shave off any of the tile, it's hard to say, just borderline.
Then you can move the receptacle forwards with spacers. These spacers can stack by snapping together to raise the device to the right level for the cover plate.
Please also see other answers and comments here noting these should only be stacked up to 1/4" thick.