Replumping needs to be copper pipes soldered which can't do , will have to hire.
No it doesnt have to be soldered.
If that pipe isn't the incoming main then it is a cold supply to something else in the house?
Having a stop cock/full bore isolator behind an integrated dishwasher is as about as much use as chocolate teapot, you cant quickly use it for its function when you have to remove the dishwasher first.
I wonder what it actually feeds and can the supply be isolated somewhere other than behind the dishwasher?
If not, you can chop all of the pipework into the wall. The supply is fed from what looks like a compression T in the pipework that is running horizontal along the wall.
Turn off your boiler, Isolate the cold water supply to the house, open taps to let water out of system, even flush toilets. Undo bottom nut on the compression T, remove the stop cock at the bottom "you will get wet doing this job" remove entire section of pipe. Fit the full bore isolator to the copper pipe sticking out of the floor to replace stock cock, make sure the flow marker on the full bore is directional to the flow of the water. Now you can do the connection from the full bore back to the compression T in HEP pipe, it can be bought in 3.0mtr lengths. You will also need to 2 smart sleeves, they are fittings that go in either end of the pipe when connecting hep pipe directly to compression fittings.
Put one smart sleeve in one end of hep pipe slide over the nut and the olive and push into the full bore isolator, tighten nut. Route the hep pipe up to the T compression fitting giving it a loose swept bend in the process, cut to length required and insert smart sleeve, you will have to buy a pack of olives, cut the copper pipe you took off to retrieve the nut, fit nut fit olive and push into the T Compression fitting and tighten nut "both nuts need to be tight, but not really really really tight" Chop out wall and clip pipe back.
Turn on the supply check for leaks.
Fit dishwasher.