I don't want to do my wife's chores
That feels very irresponsible. Why do you not want to do the chores?
I do the other chores she wants me to do, but the dishes are too much for me. I want to take a break
In a marriage, it is expected that you will equitably split the household chores that need to be done with your spouse. If you shirk doing the dishes and it is something expected that you should do, your wife will become upset and your relationship with her will suffer. If you really dislike doing the dishes you should talk with your wife to find an alternative chore that you do not mind doing as much so that you will be happier and the equitable split of the chores remains unchanged.
I have to do the dishes? That's messed up.
I do not think it's messed up as you are an adult and in a relationship, and you have responsibilities inside the house. If you do not want to wash the dishes yourself, you can try to hire someone to do it and clean up the house as well, if you're busy.