Wow, been almost a year. I got around to this today. I bought one of those wiremold boxes and a second GFCI outlet for the sink. I did have to cut off a little of the grounding tab on the wiremold box to allow the GFCI to fit, but left enough to connect a grounding wire with a screw to the receptacle. The box I bought seems to have some type of coating on the outer portion, it seemed to insulate a bit so I wanted to use a grounding wire as well instead of just relying on the screws going into the box.
Came across the box and an odd color GFCI for the sink outlet for cheap on ebay. The color works fine I suppose. I don't care as it's in the laundry room.
I pigtailed everything as you suggested and now all the receptacles work throughout the house. As I was going through the other receptacles, I found 2 that were just dual polarized prong, but the metal boxes are grounded so I swapped those out to grounded outlets. I also found one outlet that the neutral and hot were switched. We never noticed as I think only a lamp was plugged in at one time. That wasn't anything I had done, but I fixed it.
Thank you for the advice
@sparky 1971 , it most certainly helped me complete this project up and have everything work.
Yeah, I know this other outlet/plate are a little weird color-wise, but the outlet is Pass & Seymour UL listed TR etc in Antique Brass. I didn't even try to find a plate to match.