The downside to option 2 is that if you have to remove the washing machine for a few days to replace it or something, you'll also have to have the dishwasher turned off at that single isolation valve.
Plumbing can be easier than you think. There are easier methods, such as pushfit, and you'll probably find with a few YouTube videos, you'd actually do a better job than that existing old pipe you've got on the wall there
I'm an IT guy. I replaced all my plumbing under my sink once, knowing nothing about plumbing, and whilst it's by no means perfect, doing a job that is reasonable and good enough is totally possible for anyone.
Doing a really good job with proper solder joints is where the pro's earn their money, and they do it
FAST!
You can see how I had a couple of appliance isolation valves on there (as well as two feeds for taps). I used Yorkshire fittings above, but pushfit would have been even easier.
Also, I noticed a couple of other things on your other photo.
1 - there's a hot valve lying on the floor connected to a white pushfit pipe. Is that actually connected to anything? Possibly could be removed, eliminating some pipe work/joints.
2 - There's a capped off pushfit valve on the wall, connected to a equal-t joint. That equal-T could be replaced with an 90 degree elbow, eliminating that bit of extra pushfit dangling there.