Need help with some wiring (120v)

[fordwheelinman]

I'm reconstructing a under stair closet in my inlaws garage. I'd like to add a light this time, but the existing wire for the outlets has no slack in it to add a box and outlet in the closet. I say outlet because I'm using plug in shop lights. Harbor freight has a 2ft light with a motion sensor, so that simplifies installation, it turns itself off (no one around here knows how to turn a light off), and there is no switch for the kids to mess with and leave a light on for 4 days that no one knows about.

Now onto the meat of the issue. I'm rebuilding an existing closet. Closet was built, walls were covered. Closet was torn out, wall from closet never covered. I built a bench on the wall and it is now buried.

Inside with existing wire

There is an outlet under the bench, but it's in the middle of the run and it's buried. I probably should take all that out, run a new wire from that box, and back into the closet, except of course it's in the middle of the run, and there is most likely no room inside the box (dealt with that once already).

This is what I'd like to do

Cut the wire, pull it through, add a box as a junction, the take new wire up to my new outlet to get it out of the way of stuff, then run the existing wire to that outlet, and thereby completing the circuit. I don't have any large power tools, no table saw or anything high amp. I do use a circular saw, but on am extension cord plugged in at the first outlet from the breaker panel. I say that for reference that nothing in this space draws a ton of amps, so I don't think having some wire nuts in the junction box, or tagging off an outlet is going to create a huge issue. Of course I've been wrong before, and probably will be again. So what say ye of the electrical persuasion? Am I moving forward, or do I have to put an extension cord through the wall and plug it in under the bench?

As a reference, light literature says 70W, which in 120V supply, means less than a 0.6 amp draw.

 

[braxton357]

Kind of confusing but what you have drawn would work, I would suggest you wire nut everything together in your new box and pigtail to the outlet instead of using the recep itself as a junction. Id also use a 4 square box and single gang mud ring to give yourself plenty of room

 

[Ron]

I’m with stupid
But instead of citing and re routing two wires you could just come off the 4 recep on the left and run new wire the the L shape you are calling old wire … in other words extend the circuit instead of intercepting it.

You would end up with less splices and junctions in the circuit
Min my very rudimentary phone drawing from the ball field…. Leave the red as is and just add the blue

 

[Blaze]

I’m with stupid
But instead of citing and re routing two wires you could just come off the 4 recep on the left and run new wire the the L shape you are calling old wire … in other words extend the circuit instead of intercepting it.

You would end up with less splices and junctions in the circuit
Min my very rudimentary phone drawing from the ball field…. Leave the red as is and just add the blue

View attachment 398989

This. No need to make extra work for yourself. Just leave everything as-is and run a new line off of the current box on the left.

Then stick a fork in it after you are done just to be sure it works.