Tool settings are on too many places

I would be drastic … but many beat me to this proposal …
delete the general window spaces property pannels

or better … transfer it to the sidebar, because it is a sidebar of the 3d view … that’s why it’s all a mess …

and every windows space would have its local “property buttons sidebar” …
and who will want the old combination, just keep a “3d view” that only displays the list of propery buttons…

and voila, problem solved no more multiplications, no more problems between full screen and not full screen …

in reality it is less dramatic than it seems … it’s just a logical order …
try to think about how it could be (I refer especially to the proposal of george.mitev)

actually from this operation, the next step, with the proposal to create “buttons-icons” for the compartments addons, you would have a unification between the property pannels and the sidebar addons in a single sidebar …

and here I take the opportunity to link the proposal that came to my mind just before reading this thread.
a proposal that creates even more order and clarity