Looking at the attached photo you can see compared to close to the wall the floor tiles are streaked with white stains. I have tried using vinegar and scrubbing brush and also other cleaning products....

I've been playing around with a pantry location. Originally, I was going to move the pantry into the laundry with some custom shelving and cut the laundry space in half. Now, Im thinking of cutting into the study area and building a wall there, and converting the new space into a long and narrow walk in pantry. Either that or build half a wall and put built in shelving in the study. Building the extra wall will reduce the need to cover in the door way that is currently in place and instead utilising it. Thoughts? p.s. this isnt too scale.

I’d go with timber or cork. Cork is great in a kitchen. Easy on your feet and joints and things are much less likely to break if you drop them. Especially as you age, tiles cause fatigue if you are standing in the kitchen for too long. Cork is now available in lots of different colours and styles including charcoals and greys that might compliment your slate. It’s not all 80s orange. Of course timber can look great too. Just make sure it’s ok for kitchen use.

There’s no nail holes so it’s a floating floor of some type. Impossible to tell if it’s engineered wood or bamboo or vinyl. Take the picture to your local flooring shop and they’ll be able to show you something similar.