I pay Council Tax on a property that I live in and receive a single person’s discount. Have bought a property in a different area and will move into this once various work has been completed. Property has no furniture but I’ve been sleeping there regularly.
This can be read as “I’ve two properties and vary which one I sleep in”.
So why not just apply for the single person discount for both, especially if they are different councils I can’t imagine anyone (except you, and all of us) will know.
Realise it means you’re paying two lots of (discounted) CT, but then you also own two properties so really should be paying CT on both.