I have ten birds uk Rir and Cornish
If you follow the link in my signature below you can see some of my thoughts on how much room you need. We are all unique. We have different climates, flocks, goals, management techniques, and many others so what works for one person will not necessarily work for another. That's why I don't believe in those magic numbers for coop space, run space, roost length per chicken, hen to rooster ratio, brooder space, or anything else. You can use some of those as guidelines, suggestions that will keep most people out of trouble most of the time, but with certain assumptions. They are going to be overkill for many people, but not enough for others. Then you have the issue where different people use different numbers. For roost length I've seen recommendations anywhere from 7" to 15" per chick. I've seen anywhere from 1 to 15 square feet per chicken in the coop on this forum. 4 Sq Ft per chicken is probably the most common on here but you mentioned 3 Sq Ft. which is probably the second most common.
You are in the UK, which helps some though the climate in the Shetlands would be a bit different from Cornwall. I'd assume most days your chickens will be able to be outside in the weather practically all day. That reduces the requirements on coop size. Some bigger questions are whether or not you are going to be integrating new chickens or letting a broody hen raise chicks with the flock. Those activities take more room, in the coop and outside in the run. I don't consider coop space by itself. Your coop and run together plus how you manage them to give them access to both of those have an effect.
I'll assume you are building the coop yourself or paying someone to build it for you. If you go with something prefab a lot of this won't apply.
I believe your building materials in the UK come in standard 4 and 8 feet (1.22 m x 2.44 m) dimensions. The most inexpensive 2x4's are going to be 8 feet long. A sheet of plywood should be 4 ft x 8 ft. If you plan around those dimensions you can reduce cutting and waste. How do you plan to build your run? If it uses a lot of sawn lumber like 2x4's think in 8 feet dimensions. If it is posts and mesh fencing you have a lot more freedom, maybe look at how much wire comes on a roll. Is the run going to be covered or open?
Some of this is personal preference but I think 10 chickens is too many for a small elevated coop you cannot enter. You need to be able to access everything in a coop, I have trouble designing for that if I cannot walk in if you have ten chickens.
If i were building a coop for 10 chickens the minimum I'd build is a 6 ft x 8 ft (1.8 m x 2.4 m) I know, 6 ft is not divisible by 4 or 8, but it isn;t a horrible dimension. The cutoffs are often useful to build nests or other things plus the wider the building is the stronger the roof beam spanning that has to be. You want a slope on your roof so rainwater doesn't stand on it but runs off. I'd make one side wall 8' high and the other 6 to 6-1/2 feet high. An 8' beam can cover that and give you enough overhang on both ends to leave the eave open for ventilation and still keep rain out.
I have trouble coming up with a minimum run size, so much depends on what materials you use to build it and whether you cover it. As far as you reasonably can make it big.