Fellow Copenhagener here… Which store are you buying from. Exact same situation as you describe. Dishwasher for most things but the big things are annoying to wash and I just want to make it a little easier.

I actually just found this and I’m considering if I should actually just go for it.

https://www.instructables.com/3D-Printed-Automated-Liquid-Dispenser/

I tried but can’t find anything available to buy and anything I find is wall mounted giant units.

I can imagine it work, but as you say it should probably be a special soap formulation, especially if you have hard water. I Once tried bar soap shampoo that was “recommended for hard water” and it was still a disaster and my hair was like a stiff bristle afterwards due to the mineral deposits.

That’s kinda what I have already. I wanted a zero handed option so I dont even need to take my hand off the brush.

For doing dishes? never seen that around here. Also regardless of that I have extremely hard water so almost any bar of soap does not work nicely at all since it instantly leaves a lot of mineral deposits. Only bar of soap I know that works is Dove cream bar but that is just for hands and body use, not for dishes.