I would leave it where it works best for you. Centering is not necessary, particularly because this is not a focal point from a doorway to another room, and there is no window to center on.

I am renovating an existing kitchen. The gas line and plumbing are where they are and being a log cabin, moving stuff like that is a nightmare. I spent much time standing in the spots pretending to cook or wash dishes lol. There is more breathing room, for lack of a better term, over on that back wall. I personally spend more time at the sink so was fine with not spending the money to move plumbing/gas. Plus I have this thing about the sink not being your main view. I am good about tidying up the range area and ditching stuff in the sink when I do cook. Plus I did kind of try to follow the old garden web adage of Ice,Water,Stone,Fire, so leaving the sink there worked

Your kitchen is tiny, I’m impressed you could apply ice/water/etc. Leave the sink wherever you want it. No matter where you put it it’s only two steps from everything else, and centering everything is overrated.

Then something to consider is the room around the dishwasher, assuming you will have one, and where your dish storage is for ease of unloading and putting up.

Dishes will be in the space above the microwave. As well as regular drinking glasses. Coffee mugs and wine glasses will go in the beverage center on the other wall, so those will be carried regardless. The cabinet above the microwave where I’m planning on putting dishes will be pulled forward off the wall so it will be more easily accessed. Dishwasher is to the right of the sink, trash pullout to the left of the sink.

Keeping the sink in the original position, not centered, would give you more room to the right of the dishwasher so would likely be a better choice.